402486480 has 240 divisors, whose sum is σ = 1493743680. Its totient is φ = 96307200.

The previous prime is 402486473. The next prime is 402486551. The reversal of 402486480 is 84684204.

402486480 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 8 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 704595 + ... + 705165.

It is an arithmetic number, because the mean of its divisors is an integer number (6223932).

Almost surely, 2^402486480 is an apocalyptic number.

402486480 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 402486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746871840).

402486480 is an abundant number, since it is smaller than the sum of its proper divisors (1091257200).

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

402486480 is a wasteful number, since it uses less digits than its factorization.

402486480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 402486480 is about 20062.0656962338. The cubic root of 402486480 is about 738.3298589327.

The spelling of 402486480 in words is "four hundred two million, four hundred eighty-six thousand, four hundred eighty".