401349312 has 504 divisors, whose sum is σ = 1546920960. Its totient is φ = 97044480.

The previous prime is 401349301. The next prime is 401349341. The reversal of 401349312 is 213943104.

401349312 is a `hidden beast` number, since 4 + 0 + 1 + 349 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×401349312² = 322162540485746688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12946737 + ... + 12946767.

Almost surely, 2^401349312 is an apocalyptic number.

401349312 is a gapful number since it is divisible by the number (42) 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 401349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773460480).

401349312 is an abundant number, since it is smaller than the sum of its proper divisors (1145571648).

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

401349312 is a wasteful number, since it uses less digits than its factorization.

401349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 401349312 is about 20033.7044003350. The cubic root of 401349312 is about 737.6338545513.

The spelling of 401349312 in words is "four hundred one million, three hundred forty-nine thousand, three hundred twelve".