402180480 has 384 divisors, whose sum is σ = 1543782240. Its totient is φ = 95846400.

The previous prime is 402180479. The next prime is 402180511. The reversal of 402180480 is 84081204.

402180480 is a `hidden beast` number, since 4 + 0 + 2 + 180 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 3070015 + ... + 3070145.

Almost surely, 2^402180480 is an apocalyptic number.

402180480 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 402180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771891120).

402180480 is an abundant number, since it is smaller than the sum of its proper divisors (1141601760).

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

402180480 is a wasteful number, since it uses less digits than its factorization.

402180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 402180480 is about 20054.4379128411. The cubic root of 402180480 is about 738.1427004994.

The spelling of 402180480 in words is "four hundred two million, one hundred eighty thousand, four hundred eighty".