264891900 has 288 divisors, whose sum is σ = 976826368. Its totient is φ = 53913600.

The previous prime is 264891889. The next prime is 264891923. The reversal of 264891900 is 9198462.

It is a super-2 number, since 2×264891900² = 140335437371220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 846144 + ... + 846456.

Almost surely, 2^264891900 is an apocalyptic number.

264891900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 16275×16276.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264891900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488413184).

264891900 is an abundant number, since it is smaller than the sum of its proper divisors (711934468).

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

264891900 is a wasteful number, since it uses less digits than its factorization.

264891900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 264891900 is about 16275.4999923197. The cubic root of 264891900 is about 642.2284781838.

The spelling of 264891900 in words is "two hundred sixty-four million, eight hundred ninety-one thousand, nine hundred".