234255974400 has 1536 divisors, whose sum is σ = 1053173664000. Its totient is φ = 49828331520.

The previous prime is 234255974399. The next prime is 234255974413. The reversal of 234255974400 is 4479552432.

234255974400 is a `hidden beast` number, since 2 + 34 + 25 + 597 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2632089556 + ... + 2632089644.

Almost surely, 2^234255974400 is an apocalyptic number.

234255974400 is a gapful number since it is divisible by the number (20) 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 234255974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526586832000).

234255974400 is an abundant number, since it is smaller than the sum of its proper divisors (818917689600).

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

234255974400 is an equidigital number, since it uses as much as digits as its factorization.

234255974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 234255974400 in words is "two hundred thirty-four billion, two hundred fifty-five million, nine hundred seventy-four thousand, four hundred".