404951040 has 312 divisors, whose sum is σ = 1520577240. Its totient is φ = 99680256.

The previous prime is 404951003. The next prime is 404951069. The reversal of 404951040 is 40159404.

It can be written as a sum of positive squares in 4 ways, for example, as 150994944 + 253956096 = 12288^2 + 15936^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a junction number, because it is equal to n+sod(n) for n = 404950995 and 404951013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31150074 + ... + 31150086.

It is an arithmetic number, because the mean of its divisors is an integer number (4873645).

Almost surely, 2^404951040 is an apocalyptic number.

404951040 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 404951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760288620).

404951040 is an abundant number, since it is smaller than the sum of its proper divisors (1115626200).

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

404951040 is an equidigital number, since it uses as much as digits as its factorization.

404951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 404951040 is about 20123.3953397532. The cubic root of 404951040 is about 739.8338073339.

404951040 divided by its product of nonzero digits (2880) gives a cube (140608 = 52³).

The spelling of 404951040 in words is "four hundred four million, nine hundred fifty-one thousand, forty".