401384880 has 480 divisors, whose sum is σ = 1595106240. Its totient is φ = 89579520.

The previous prime is 401384839. The next prime is 401384881. The reversal of 401384880 is 88483104.

401384880 is a `hidden beast` number, since 40 + 138 + 488 + 0 = 666.

It is a super-2 number, since 2×401384880² = 322219643785228800, 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 not an unprimeable number, because it can be changed into a prime (401384881) 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, 6580050 + ... + 6580110.

It is an arithmetic number, because the mean of its divisors is an integer number (3323138).

Almost surely, 2^401384880 is an apocalyptic number.

401384880 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 401384880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797553120).

401384880 is an abundant number, since it is smaller than the sum of its proper divisors (1193721360).

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

401384880 is a wasteful number, since it uses less digits than its factorization.

401384880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 401384880 is about 20034.5920846919. The cubic root of 401384880 is about 737.6556438715.

The spelling of 401384880 in words is "four hundred one million, three hundred eighty-four thousand, eight hundred eighty".