402562560 has 320 divisors, whose sum is σ = 1400053248. Its totient is φ = 98402304.

The previous prime is 402562547. The next prime is 402562577. The reversal of 402562560 is 65265204.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×402562560² = 324113229427507200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7595494 + ... + 7595546.

Almost surely, 2^402562560 is an apocalyptic number.

402562560 is a gapful number since it is divisible by the number (40) 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 402562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700026624).

402562560 is an abundant number, since it is smaller than the sum of its proper divisors (997490688).

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

402562560 is a wasteful number, since it uses less digits than its factorization.

402562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 402562560 is about 20063.9617224515. The cubic root of 402562560 is about 738.3763769314.

The spelling of 402562560 in words is "four hundred two million, five hundred sixty-two thousand, five hundred sixty".