232070400 has 432 divisors, whose sum is σ = 912441600. Its totient is φ = 57507840.

The previous prime is 232070393. The next prime is 232070453. The reversal of 232070400 is 4070232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2937561 + ... + 2937639.

Almost surely, 2^232070400 is an apocalyptic number.

232070400 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 232070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456220800).

232070400 is an abundant number, since it is smaller than the sum of its proper divisors (680371200).

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

232070400 is a wasteful number, since it uses less digits than its factorization.

232070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 232070400 is about 15233.8570296560. The cubic root of 232070400 is about 614.5255114678.

The spelling of 232070400 in words is "two hundred thirty-two million, seventy thousand, four hundred".