404262720 has 336 divisors, whose sum is σ = 1540581120. Its totient is φ = 96780288.

The previous prime is 404262673. The next prime is 404262721. The reversal of 404262720 is 27262404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404262721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125901 + ... + 1126259.

Almost surely, 2^404262720 is an apocalyptic number.

404262720 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 404262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770290560).

404262720 is an abundant number, since it is smaller than the sum of its proper divisors (1136318400).

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

404262720 is a wasteful number, since it uses less digits than its factorization.

404262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 404262720 is about 20106.2855843639. The cubic root of 404262720 is about 739.4143893806.

The spelling of 404262720 in words is "four hundred four million, two hundred sixty-two thousand, seven hundred twenty".