5464454400 has 540 divisors, whose sum is σ = 20609014272. Its totient is φ = 1428295680.

The previous prime is 5464454393. The next prime is 5464454431. The reversal of 5464454400 is 44544645.

5464454400 is a `hidden beast` number, since 5 + 4 + 644 + 5 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43027137 + ... + 43027263.

Almost surely, 2^5464454400 is an apocalyptic number.

5464454400 is a gapful number since it is divisible by the number (50) 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 5464454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10304507136).

5464454400 is an abundant number, since it is smaller than the sum of its proper divisors (15144559872).

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

5464454400 is a wasteful number, since it uses less digits than its factorization.

5464454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 5464454400 is about 73921.9480262797. The cubic root of 5464454400 is about 1761.3632688292.

The spelling of 5464454400 in words is "five billion, four hundred sixty-four million, four hundred fifty-four thousand, four hundred".