1231952400 has 720 divisors, whose sum is σ = 5372989440. Its totient is φ = 255052800.

The previous prime is 1231952387. The next prime is 1231952429. The reversal of 1231952400 is 42591321.

1231952400 is a `hidden beast` number, since 123 + 19 + 524 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14842759 + ... + 14842841.

Almost surely, 2^1231952400 is an apocalyptic number.

1231952400 is a gapful number since it is divisible by the number (10) 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 1231952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686494720).

1231952400 is an abundant number, since it is smaller than the sum of its proper divisors (4141037040).

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

1231952400 is a wasteful number, since it uses less digits than its factorization.

1231952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1231952400 is about 35099.1794775889. The cubic root of 1231952400 is about 1072.0078756754.

The spelling of 1231952400 in words is "one billion, two hundred thirty-one million, nine hundred fifty-two thousand, four hundred".