404627400 has 120 divisors (see below), whose sum is σ = 1405387170. Its totient is φ = 107896320.

The previous prime is 404627389. The next prime is 404627411. The reversal of 404627400 is 4726404.

It is an interprime number because it is at equal distance from previous prime (404627389) and next prime (404627411).

It can be written as a sum of positive squares in 3 ways, for example, as 172186884 + 232440516 = 13122^2 + 15246^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3712 + ... + 28688.

Almost surely, 2^404627400 is an apocalyptic number.

404627400 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 404627400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702693585).

404627400 is an abundant number, since it is smaller than the sum of its proper divisors (1000759770).

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

404627400 is a wasteful number, since it uses less digits than its factorization.

404627400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25005 (or 24987 counting only the distinct ones).

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

The square root of 404627400 is about 20115.3523459073. The cubic root of 404627400 is about 739.6366611727.

The spelling of 404627400 in words is "four hundred four million, six hundred twenty-seven thousand, four hundred".