404478360 has 448 divisors, whose sum is σ = 1619563680. Its totient is φ = 89579520.

The previous prime is 404478329. The next prime is 404478367. The reversal of 404478360 is 63874404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404478367) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4169832 + ... + 4169928.

Almost surely, 2^404478360 is an apocalyptic number.

404478360 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 404478360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809781840).

404478360 is an abundant number, since it is smaller than the sum of its proper divisors (1215085320).

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

404478360 is a wasteful number, since it uses less digits than its factorization.

404478360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 404478360 is about 20111.6473716103. The cubic root of 404478360 is about 739.5458377094.

The spelling of 404478360 in words is "four hundred four million, four hundred seventy-eight thousand, three hundred sixty".