404957952 has 324 divisors, whose sum is σ = 1444932216. Its totient is φ = 108380160.

The previous prime is 404957951. The next prime is 404957953. The reversal of 404957952 is 259759404.

404957952 is a `hidden beast` number, since 40 + 495 + 79 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (404957951) and next prime (404957953).

It is a junction number, because it is equal to n+sod(n) for n = 404957898 and 404957907.

It is not an unprimeable number, because it can be changed into a prime (404957951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1919127 + ... + 1919337.

Almost surely, 2^404957952 is an apocalyptic number.

404957952 is a gapful number since it is divisible by the number (42) 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 404957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722466108).

404957952 is an abundant number, since it is smaller than the sum of its proper divisors (1039974264).

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

404957952 is a wasteful number, since it uses less digits than its factorization.

404957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 404957952 is about 20123.5670794221. The cubic root of 404957952 is about 739.8380166512.

It can be divided in two parts, 4049 and 57952, that added together give a square (62001 = 249²).

The spelling of 404957952 in words is "four hundred four million, nine hundred fifty-seven thousand, nine hundred fifty-two".