404076740 has 48 divisors (see below), whose sum is σ = 901584432. Its totient is φ = 151597056.

The previous prime is 404076713. The next prime is 404076767. The reversal of 404076740 is 47670404.

It is an interprime number because it is at equal distance from previous prime (404076713) and next prime (404076767).

It can be written as a sum of positive squares in 8 ways, for example, as 133079296 + 270997444 = 11536^2 + 16462^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404076697 and 404076706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104522 + ... + 108318.

It is an arithmetic number, because the mean of its divisors is an integer number (18783009).

Almost surely, 2^404076740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404076740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450792216).

404076740 is an abundant number, since it is smaller than the sum of its proper divisors (497507692).

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

404076740 is a wasteful number, since it uses less digits than its factorization.

404076740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 404076740 is about 20101.6601304469. The cubic root of 404076740 is about 739.3009834404.

The spelling of 404076740 in words is "four hundred four million, seventy-six thousand, seven hundred forty".