234640464400 has 30 divisors (see below), whose sum is σ = 563723716682. Its totient is φ = 93856185600.

The previous prime is 234640464379. The next prime is 234640464433. The reversal of 234640464400 is 4464046432.

It can be written as a sum of positive squares in 3 ways, for example, as 52444664064 + 182195800336 = 229008^2 + 426844^2 .

It is a super-2 number, since 2×234640464400² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234640464400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293300181 + ... + 293300980.

Almost surely, 2^234640464400 is an apocalyptic number.

234640464400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234640464400 is an abundant number, since it is smaller than the sum of its proper divisors (329083252282).

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

234640464400 is a wasteful number, since it uses less digits than its factorization.

234640464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586601179 (or 586601168 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

The spelling of 234640464400 in words is "two hundred thirty-four billion, six hundred forty million, four hundred sixty-four thousand, four hundred".