1404561600 has 672 divisors, whose sum is σ = 5741090880. Its totient is φ = 331776000.

The previous prime is 1404561593. The next prime is 1404561749. The reversal of 1404561600 is 61654041.

1404561600 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 56 + 1 + 600 = 666.

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 95 ways as a sum of consecutive naturals, for example, 23025570 + ... + 23025630.

It is an arithmetic number, because the mean of its divisors is an integer number (8543290).

Almost surely, 2^1404561600 is an apocalyptic number.

1404561600 is a gapful number since it is divisible by the number (10) 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 1404561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870545440).

1404561600 is an abundant number, since it is smaller than the sum of its proper divisors (4336529280).

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

1404561600 is a wasteful number, since it uses less digits than its factorization.

1404561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1404561600 is about 37477.4812387385. The cubic root of 1404561600 is about 1119.9026275891.

It can be divided in two parts, 1404 and 561600, that multiplied together give a square (788486400 = 28080²).

The spelling of 1404561600 in words is "one billion, four hundred four million, five hundred sixty-one thousand, six hundred".