264470400 has 192 divisors, whose sum is σ = 968204400. Its totient is φ = 70502400.

The previous prime is 264470389. The next prime is 264470431. The reversal of 264470400 is 4074462.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent 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, 84870 + ... + 87930.

Almost surely, 2^264470400 is an apocalyptic number.

264470400 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 264470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484102200).

264470400 is an abundant number, since it is smaller than the sum of its proper divisors (703734000).

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

264470400 is a wasteful number, since it uses less digits than its factorization.

264470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 264470400 is about 16262.5459261458. The cubic root of 264470400 is about 641.8876561216.

The spelling of 264470400 in words is "two hundred sixty-four million, four hundred seventy thousand, four hundred".