264590899400 has 96 divisors (see below), whose sum is σ = 617866704000. Its totient is φ = 105374008320.

The previous prime is 264590899399. The next prime is 264590899423. The reversal of 264590899400 is 4998095462.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56546261 + ... + 56550939.

It is an arithmetic number, because the mean of its divisors is an integer number (6436111500).

Almost surely, 2^264590899400 is an apocalyptic number.

264590899400 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 264590899400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308933352000).

264590899400 is an abundant number, since it is smaller than the sum of its proper divisors (353275804600).

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

264590899400 is a wasteful number, since it uses less digits than its factorization.

264590899400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 56.

Adding to 264590899400 its sum of digits (56), we get a square (264590899456 = 514384²).

The spelling of 264590899400 in words is "two hundred sixty-four billion, five hundred ninety million, eight hundred ninety-nine thousand, four hundred".