1408632400 has 120 divisors (see below), whose sum is σ = 3947019200. Its totient is φ = 482912640.

The previous prime is 1408632377. The next prime is 1408632409. The reversal of 1408632400 is 42368041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408632409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132067 + ... + 142333.

Almost surely, 2^1408632400 is an apocalyptic number.

1408632400 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 1408632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973509600).

1408632400 is an abundant number, since it is smaller than the sum of its proper divisors (2538386800).

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

1408632400 is a wasteful number, since it uses less digits than its factorization.

1408632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1408632400 is about 37531.7518908990. The cubic root of 1408632400 is about 1120.9835110918.

The spelling of 1408632400 in words is "one billion, four hundred eight million, six hundred thirty-two thousand, four hundred".