7452038400 has 432 divisors, whose sum is σ = 26460806400. Its totient is φ = 1846640640.

The previous prime is 7452038381. The next prime is 7452038453. The reversal of 7452038400 is 48302547.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94329561 + ... + 94329639.

Almost surely, 2^7452038400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7452038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230403200).

7452038400 is an abundant number, since it is smaller than the sum of its proper divisors (19008768000).

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

7452038400 is an equidigital number, since it uses as much as digits as its factorization.

7452038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 7452038400 is about 86325.1898347174. The cubic root of 7452038400 is about 1953.2523764693.

The spelling of 7452038400 in words is "seven billion, four hundred fifty-two million, thirty-eight thousand, four hundred".