1264572400 has 240 divisors, whose sum is σ = 3820936000. Its totient is φ = 399651840.

The previous prime is 1264572383. The next prime is 1264572427. The reversal of 1264572400 is 42754621.

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, 1783246 + ... + 1783954.

Almost surely, 2^1264572400 is an apocalyptic number.

1264572400 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 1264572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910468000).

1264572400 is an abundant number, since it is smaller than the sum of its proper divisors (2556363600).

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

1264572400 is a wasteful number, since it uses less digits than its factorization.

1264572400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 1264572400 is about 35560.8267620425. The cubic root of 1264572400 is about 1081.3872206036.

The spelling of 1264572400 in words is "one billion, two hundred sixty-four million, five hundred seventy-two thousand, four hundred".