234949478400 has 1296 divisors, whose sum is σ = 1043719447680. Its totient is φ = 49456742400.

The previous prime is 234949478389. The next prime is 234949478453. The reversal of 234949478400 is 4874949432.

234949478400 is a `hidden beast` number, since 2 + 3 + 49 + 494 + 78 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 545126185 + ... + 545126615.

It is an arithmetic number, because the mean of its divisors is an integer number (805339080).

Almost surely, 2^234949478400 is an apocalyptic number.

234949478400 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 234949478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521859723840).

234949478400 is an abundant number, since it is smaller than the sum of its proper divisors (808769969280).

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

234949478400 is a wasteful number, since it uses less digits than its factorization.

234949478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 234949478400 in words is "two hundred thirty-four billion, nine hundred forty-nine million, four hundred seventy-eight thousand, four hundred".