408294545400 has 1920 divisors, whose sum is σ = 1843403443200. Its totient is φ = 81517363200.

The previous prime is 408294545387. The next prime is 408294545401. The reversal of 408294545400 is 4545492804.

It is a happy number.

408294545400 is a `hidden beast` number, since 40 + 8 + 29 + 4 + 545 + 40 + 0 = 666.

It is a super-2 number, since 2×408294545400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408294545401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2600602122 + ... + 2600602278.

It is an arithmetic number, because the mean of its divisors is an integer number (960105960).

Almost surely, 2^408294545400 is an apocalyptic number.

408294545400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408294545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921701721600).

408294545400 is an abundant number, since it is smaller than the sum of its proper divisors (1435108897800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408294545400 is a wasteful number, since it uses less digits than its factorization.

408294545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 408294545400 in words is "four hundred eight billion, two hundred ninety-four million, five hundred forty-five thousand, four hundred".