402007536 has 120 divisors (see below), whose sum is σ = 1333497984. Its totient is φ = 114851520.

The previous prime is 402007531. The next prime is 402007549. The reversal of 402007536 is 635700204.

It is a happy number.

It is a super-2 number, since 2×402007536² = 323220118001582592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402007531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19831 + ... + 34601.

Almost surely, 2^402007536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402007536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666748992).

402007536 is an abundant number, since it is smaller than the sum of its proper divisors (931490448).

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

402007536 is a wasteful number, since it uses less digits than its factorization.

402007536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14801 (or 14783 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 402007536 is about 20050.1255856416. The cubic root of 402007536 is about 738.0368809647.

The spelling of 402007536 in words is "four hundred two million, seven thousand, five hundred thirty-six".