4564934400 has 216 divisors, whose sum is σ = 16224985840. Its totient is φ = 1123614720.

The previous prime is 4564934389. The next prime is 4564934411. The reversal of 4564934400 is 44394654.

It is an interprime number because it is at equal distance from previous prime (4564934389) and next prime (4564934411).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240456 + ... + 258744.

Almost surely, 2^4564934400 is an apocalyptic number.

4564934400 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 4564934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112492920).

4564934400 is an abundant number, since it is smaller than the sum of its proper divisors (11660051440).

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

4564934400 is a wasteful number, since it uses less digits than its factorization.

4564934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18331 (or 18312 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 4564934400 is about 67564.2982646901. The cubic root of 4564934400 is about 1658.8667932393.

The spelling of 4564934400 in words is "four billion, five hundred sixty-four million, nine hundred thirty-four thousand, four hundred".