1538400 has 72 divisors (see below), whose sum is σ = 5015304. Its totient is φ = 409600.

The previous prime is 1538399. The next prime is 1538413. The reversal of 1538400 is 48351.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2080 + ... + 2720.

It is an arithmetic number, because the mean of its divisors is an integer number (69657).

2^1538400 is an apocalyptic number.

1538400 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 1538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507652).

1538400 is an abundant number, since it is smaller than the sum of its proper divisors (3476904).

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

1538400 is a wasteful number, since it uses less digits than its factorization.

1538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1538400 is about 1240.3225386971. The cubic root of 1538400 is about 115.4400280850.

The spelling of 1538400 in words is "one million, five hundred thirty-eight thousand, four hundred".