402713480 has 96 divisors (see below), whose sum is σ = 1005789960. Its totient is φ = 144967680.

The previous prime is 402713477. The next prime is 402713537. The reversal of 402713480 is 84317204.

It can be written as a sum of positive squares in 12 ways, for example, as 550564 + 402162916 = 742^2 + 20054^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 276434 + ... + 277886.

Almost surely, 2^402713480 is an apocalyptic number.

402713480 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 402713480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502894980).

402713480 is an abundant number, since it is smaller than the sum of its proper divisors (603076480).

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

402713480 is a wasteful number, since it uses less digits than its factorization.

402713480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 402713480 is about 20067.7223421095. The cubic root of 402713480 is about 738.4686374073.

The spelling of 402713480 in words is "four hundred two million, seven hundred thirteen thousand, four hundred eighty".