402284520 has 384 divisors, whose sum is σ = 1536537600. Its totient is φ = 90316800.

The previous prime is 402284507. The next prime is 402284521. The reversal of 402284520 is 25482204.

It is a happy number.

402284520 is a `hidden beast` number, since 40 + 22 + 84 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (402284521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3559984 + ... + 3560096.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2^402284520 is an apocalyptic number.

402284520 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 402284520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768268800).

402284520 is an abundant number, since it is smaller than the sum of its proper divisors (1134253080).

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

402284520 is a wasteful number, since it uses less digits than its factorization.

402284520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 402284520 is about 20057.0316846736. The cubic root of 402284520 is about 738.2063450149.

The spelling of 402284520 in words is "four hundred two million, two hundred eighty-four thousand, five hundred twenty".