401863680 has 528 divisors, whose sum is σ = 1609433280. Its totient is φ = 95551488.

The previous prime is 401863639. The next prime is 401863703. The reversal of 401863680 is 86368104.

It is a happy number.

401863680 is a `hidden beast` number, since 4 + 0 + 18 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×401863680² = 322988834606284800, which contains 22 as substring.

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, 21150711 + ... + 21150729.

Almost surely, 2^401863680 is an apocalyptic number.

401863680 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 401863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804716640).

401863680 is an abundant number, since it is smaller than the sum of its proper divisors (1207569600).

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

401863680 is a wasteful number, since it uses less digits than its factorization.

401863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 401863680 is about 20046.5378556997. The cubic root of 401863680 is about 737.9488364293.

401863680 divided by its product of nonzero digits (27648) gives a triangular number (14535 = T₁₇₀).

The spelling of 401863680 in words is "four hundred one million, eight hundred sixty-three thousand, six hundred eighty".