401472000 has 480 divisors, whose sum is σ = 1568430864. Its totient is φ = 98304000.

The previous prime is 401471999. The next prime is 401472023. The reversal of 401472000 is 274104.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 831744 + 400640256 = 912^2 + 20016^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×401472000² = 322359533568000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9791980 + ... + 9792020.

Almost surely, 2^401472000 is an apocalyptic number.

401472000 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 401472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784215432).

401472000 is an abundant number, since it is smaller than the sum of its proper divisors (1166958864).

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

401472000 is a wasteful number, since it uses less digits than its factorization.

401472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 401472000 is about 20036.7662061521. The cubic root of 401472000 is about 737.7090090362.

The spelling of 401472000 in words is "four hundred one million, four hundred seventy-two thousand".