401972480 has 432 divisors, whose sum is σ = 1321200720. Its totient is φ = 115605504.

The previous prime is 401972479. The next prime is 401972491. The reversal of 401972480 is 84279104.

It can be written as a sum of positive squares in 8 ways, for example, as 4528384 + 397444096 = 2128^2 + 19936^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 401972480.

It is a congruent number.

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, 13861106 + ... + 13861134.

It is an arithmetic number, because the mean of its divisors is an integer number (3058335).

Almost surely, 2^401972480 is an apocalyptic number.

401972480 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 401972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660600360).

401972480 is an abundant number, since it is smaller than the sum of its proper divisors (919228240).

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

401972480 is a wasteful number, since it uses less digits than its factorization.

401972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 401972480 is about 20049.2513575944. The cubic root of 401972480 is about 738.0154274921.

The spelling of 401972480 in words is "four hundred one million, nine hundred seventy-two thousand, four hundred eighty".