401614920 has 384 divisors, whose sum is σ = 1585059840. Its totient is φ = 86261760.

The previous prime is 401614901. The next prime is 401614921. The reversal of 401614920 is 29416104.

401614920 is a `hidden beast` number, since 40 + 1 + 614 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×401614920² = 322589087933212800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401614921) 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, 4140312 + ... + 4140408.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^401614920 is an apocalyptic number.

401614920 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 401614920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

401614920 is an abundant number, since it is smaller than the sum of its proper divisors (1183444920).

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

401614920 is a wasteful number, since it uses less digits than its factorization.

401614920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 401614920 is about 20040.3323325737. The cubic root of 401614920 is about 737.7965376501.

The spelling of 401614920 in words is "four hundred one million, six hundred fourteen thousand, nine hundred twenty".