1408742400 has 528 divisors, whose sum is σ = 5373031104. Its totient is φ = 322437120.

The previous prime is 1408742381. The next prime is 1408742437. The reversal of 1408742400 is 42478041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16972759 + ... + 16972841.

Almost surely, 2^1408742400 is an apocalyptic number.

1408742400 is a gapful number since it is divisible by the number (10) 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 1408742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686515552).

1408742400 is an abundant number, since it is smaller than the sum of its proper divisors (3964288704).

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

1408742400 is a wasteful number, since it uses less digits than its factorization.

1408742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 1408742400 is about 37533.2172881569. The cubic root of 1408742400 is about 1121.0126895055.

The spelling of 1408742400 in words is "one billion, four hundred eight million, seven hundred forty-two thousand, four hundred".