401362080 has 192 divisors, whose sum is σ = 1521192960. Its totient is φ = 86897664.

The previous prime is 401362069. The next prime is 401362081. The reversal of 401362080 is 80263104.

It is a happy number.

It is a super-2 number, since 2×401362080² = 322183038523852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 401362080.

It is not an unprimeable number, because it can be changed into a prime (401362081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60697 + ... + 66983.

It is an arithmetic number, because the mean of its divisors is an integer number (7922880).

Almost surely, 2^401362080 is an apocalyptic number.

401362080 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 401362080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760596480).

401362080 is an abundant number, since it is smaller than the sum of its proper divisors (1119830880).

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

401362080 is a wasteful number, since it uses less digits than its factorization.

401362080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6331 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 401362080 is about 20034.0230607834. The cubic root of 401362080 is about 737.6416765067.

The spelling of 401362080 in words is "four hundred one million, three hundred sixty-two thousand, eighty".