402567264 has 144 divisors (see below), whose sum is σ = 1264745664. Its totient is φ = 120441600.

The previous prime is 402567257. The next prime is 402567281. The reversal of 402567264 is 462765204.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 262179 + ... + 263709.

It is an arithmetic number, because the mean of its divisors is an integer number (8782956).

Almost surely, 2^402567264 is an apocalyptic number.

402567264 is a gapful number since it is divisible by the number (44) 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 402567264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632372832).

402567264 is an abundant number, since it is smaller than the sum of its proper divisors (862178400).

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

402567264 is a wasteful number, since it uses less digits than its factorization.

402567264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 402567264 is about 20064.0789472131. The cubic root of 402567264 is about 738.3792529308.

It can be divided in two parts, 4025 and 67264, that added together give a square (71289 = 267²).

The spelling of 402567264 in words is "four hundred two million, five hundred sixty-seven thousand, two hundred sixty-four".