401630416 has 80 divisors (see below), whose sum is σ = 905084928. Its totient is φ = 170825600.

The previous prime is 401630387. The next prime is 401630429. The reversal of 401630416 is 614036104.

It is a super-2 number, since 2×401630416² = 322613982112666112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189201 + ... + 191311.

Almost surely, 2^401630416 is an apocalyptic number.

401630416 is a gapful number since it is divisible by the number (46) 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 401630416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452542464).

401630416 is an abundant number, since it is smaller than the sum of its proper divisors (503454512).

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

401630416 is a wasteful number, since it uses less digits than its factorization.

401630416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 401630416 is about 20040.7189491794. The cubic root of 401630416 is about 737.8060266303.

The spelling of 401630416 in words is "four hundred one million, six hundred thirty thousand, four hundred sixteen".