229474274400 has 288 divisors, whose sum is σ = 948494292480. Its totient is φ = 52451228160.

The previous prime is 229474274371. The next prime is 229474274459. The reversal of 229474274400 is 4472474922.

229474274400 is a `hidden beast` number, since 22 + 94 + 74 + 2 + 74 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×229474274400² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 607644 + ... + 910043.

It is an arithmetic number, because the mean of its divisors is an integer number (3293382960).

Almost surely, 2^229474274400 is an apocalyptic number.

229474274400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229474274400 is an abundant number, since it is smaller than the sum of its proper divisors (719020018080).

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

229474274400 is a wasteful number, since it uses less digits than its factorization.

229474274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517723 (or 1517704 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 229474274400 in words is "two hundred twenty-nine billion, four hundred seventy-four million, two hundred seventy-four thousand, four hundred".