401905680 has 160 divisors (see below), whose sum is σ = 1418480640. Its totient is φ = 93181440.

The previous prime is 401905667. The next prime is 401905681. The reversal of 401905680 is 86509104.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (401905681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57411 + ... + 64029.

It is an arithmetic number, because the mean of its divisors is an integer number (8865504).

Almost surely, 2^401905680 is an apocalyptic number.

401905680 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 401905680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709240320).

401905680 is an abundant number, since it is smaller than the sum of its proper divisors (1016574960).

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

401905680 is a wasteful number, since it uses less digits than its factorization.

401905680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 401905680 is about 20047.5853907646. The cubic root of 401905680 is about 737.9745439622.

The spelling of 401905680 in words is "four hundred one million, nine hundred five thousand, six hundred eighty".