401369472 has 256 divisors, whose sum is σ = 1386547200. Its totient is φ = 111919104.

The previous prime is 401369443. The next prime is 401369489. The reversal of 401369472 is 274963104.

It is a super-2 number, since 2×401369472² = 322194906107117568, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136848 + ... + 1137200.

It is an arithmetic number, because the mean of its divisors is an integer number (5416200).

Almost surely, 2^401369472 is an apocalyptic number.

401369472 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 401369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693273600).

401369472 is an abundant number, since it is smaller than the sum of its proper divisors (985177728).

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

401369472 is a wasteful number, since it uses less digits than its factorization.

401369472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 401369472 is about 20034.2075460948. The cubic root of 401369472 is about 737.6462049313.

The spelling of 401369472 in words is "four hundred one million, three hundred sixty-nine thousand, four hundred seventy-two".