264020400 has 180 divisors, whose sum is σ = 1047213232. Its totient is φ = 60341760.

The previous prime is 264020377. The next prime is 264020411. The reversal of 264020400 is 4020462.

264020400 is a `hidden beast` number, since 2 + 640 + 20 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19962 + ... + 30438.

Almost surely, 2^264020400 is an apocalyptic number.

264020400 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 264020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523606616).

264020400 is an abundant number, since it is smaller than the sum of its proper divisors (783192832).

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

264020400 is a wasteful number, since it uses less digits than its factorization.

264020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 264020400 is about 16248.7045637491. The cubic root of 264020400 is about 641.5233892353.

Adding to 264020400 its reverse (4020462), we get a palindrome (268040862).

The spelling of 264020400 in words is "two hundred sixty-four million, twenty thousand, four hundred".