401416920 has 192 divisors, whose sum is σ = 1396530720. Its totient is φ = 99643392.

The previous prime is 401416871. The next prime is 401416921. The reversal of 401416920 is 29614104.

It is a super-2 number, since 2×401416920² = 322271087324572800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401416921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654534 + ... + 655146.

Almost surely, 2^401416920 is an apocalyptic number.

401416920 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 401416920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698265360).

401416920 is an abundant number, since it is smaller than the sum of its proper divisors (995113800).

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

401416920 is a wasteful number, since it uses less digits than its factorization.

401416920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 747 counting only the distinct ones).

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

The square root of 401416920 is about 20035.3916857146. The cubic root of 401416920 is about 737.6752708008.

The spelling of 401416920 in words is "four hundred one million, four hundred sixteen thousand, nine hundred twenty".