401447520 has 432 divisors, whose sum is σ = 1565246592. Its totient is φ = 93265920.

The previous prime is 401447507. The next prime is 401447531. The reversal of 401447520 is 25744104.

It is a super-2 number, since 2×401447520² = 322320222628300800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 71 ways as a sum of consecutive naturals, for example, 12949905 + ... + 12949935.

It is an arithmetic number, because the mean of its divisors is an integer number (3623256).

Almost surely, 2^401447520 is an apocalyptic number.

401447520 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 401447520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782623296).

401447520 is an abundant number, since it is smaller than the sum of its proper divisors (1163799072).

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

401447520 is a wasteful number, since it uses less digits than its factorization.

401447520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 401447520 is about 20036.1553198212. The cubic root of 401447520 is about 737.6940146459.

The spelling of 401447520 in words is "four hundred one million, four hundred forty-seven thousand, five hundred twenty".