1264523400 has 576 divisors, whose sum is σ = 5216184000. Its totient is φ = 284135040.

The previous prime is 1264523383. The next prime is 1264523401. The reversal of 1264523400 is 43254621.

1264523400 = 5056² + 5057² + ... + 5104².

1264523400 is a `hidden beast` number, since 12 + 645 + 2 + 3 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1264523401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21432571 + ... + 21432629.

It is an arithmetic number, because the mean of its divisors is an integer number (9055875).

Almost surely, 2^1264523400 is an apocalyptic number.

1264523400 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 1264523400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608092000).

1264523400 is an abundant number, since it is smaller than the sum of its proper divisors (3951660600).

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

1264523400 is an equidigital number, since it uses as much as digits as its factorization.

1264523400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1264523400 is about 35560.1377950086. The cubic root of 1264523400 is about 1081.3732531264.

The spelling of 1264523400 in words is "one billion, two hundred sixty-four million, five hundred twenty-three thousand, four hundred".