1404506400 has 144 divisors (see below), whose sum is σ = 4987368288. Its totient is φ = 340480000.

The previous prime is 1404506399. The next prime is 1404506447. The reversal of 1404506400 is 46054041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201 + ... + 53000.

It is an arithmetic number, because the mean of its divisors is an integer number (34634502).

Almost surely, 2^1404506400 is an apocalyptic number.

1404506400 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 1404506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493684144).

1404506400 is an abundant number, since it is smaller than the sum of its proper divisors (3582861888).

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

1404506400 is a wasteful number, since it uses less digits than its factorization.

1404506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53235 (or 53222 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1404506400 is about 37476.7447892690. The cubic root of 1404506400 is about 1119.8879564787.

The spelling of 1404506400 in words is "one billion, four hundred four million, five hundred six thousand, four hundred".