4305974400 has 1152 divisors, whose sum is σ = 19888727040. Its totient is φ = 862617600.

The previous prime is 4305974363. The next prime is 4305974443. The reversal of 4305974400 is 44795034.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 81244774 + ... + 81244826.

It is an arithmetic number, because the mean of its divisors is an integer number (17264520).

Almost surely, 2^4305974400 is an apocalyptic number.

4305974400 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 4305974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9944363520).

4305974400 is an abundant number, since it is smaller than the sum of its proper divisors (15582752640).

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

4305974400 is a wasteful number, since it uses less digits than its factorization.

4305974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4305974400 is about 65619.9238036741. The cubic root of 4305974400 is about 1626.8860971863.

The spelling of 4305974400 in words is "four billion, three hundred five million, nine hundred seventy-four thousand, four hundred".