404497800 has 576 divisors, whose sum is σ = 1706140800. Its totient is φ = 87091200.

The previous prime is 404497799. The next prime is 404497811. The reversal of 404497800 is 8794404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9865780 + ... + 9865820.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 2^404497800 is an apocalyptic number.

404497800 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 404497800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853070400).

404497800 is an abundant number, since it is smaller than the sum of its proper divisors (1301643000).

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

404497800 is a wasteful number, since it uses less digits than its factorization.

404497800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 404497800 is about 20112.1306678333. The cubic root of 404497800 is about 739.5576855132.

The spelling of 404497800 in words is "four hundred four million, four hundred ninety-seven thousand, eight hundred".