4564929600 has 1008 divisors, whose sum is σ = 21225784320. Its totient is φ = 902246400.

The previous prime is 4564929599. The next prime is 4564929613. The reversal of 4564929600 is 69294654.

4564929600 is a `hidden beast` number, since 4 + 564 + 9 + 29 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25502311 + ... + 25502489.

Almost surely, 2^4564929600 is an apocalyptic number.

4564929600 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 4564929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10612892160).

4564929600 is an abundant number, since it is smaller than the sum of its proper divisors (16660854720).

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

4564929600 is a wasteful number, since it uses less digits than its factorization.

4564929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4564929600 is about 67564.2627429620. The cubic root of 4564929600 is about 1658.8662118097.

The spelling of 4564929600 in words is "four billion, five hundred sixty-four million, nine hundred twenty-nine thousand, six hundred".