264435254252400 has 960 divisors, whose sum is σ = 1065577834368000. Its totient is φ = 54908516044800.

The previous prime is 264435254252287. The next prime is 264435254252401. The reversal of 264435254252400 is 4252452534462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 264435254252400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264435254252401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17318431966 + ... + 17318447234.

It is an arithmetic number, because the mean of its divisors is an integer number (1109976910800).

Almost surely, 2^{264435254252400} is an apocalyptic number.

264435254252400 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 264435254252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532788917184000).

264435254252400 is an abundant number, since it is smaller than the sum of its proper divisors (801142580115600).

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

264435254252400 is a wasteful number, since it uses less digits than its factorization.

264435254252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16879 (or 16846 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 48.

The spelling of 264435254252400 in words is "two hundred sixty-four trillion, four hundred thirty-five billion, two hundred fifty-four million, two hundred fifty-two thousand, four hundred".