1542400 has 54 divisors (see below), whose sum is σ = 3833522. Its totient is φ = 614400.

The previous prime is 1542383. The next prime is 1542421. The reversal of 1542400 is 42451.

It can be written as a sum of positive squares in 3 ways, for example, as 215296 + 1327104 = 464^2 + 1152^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6280 + ... + 6520.

2^1542400 is an apocalyptic number.

1542400 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 1542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916761).

1542400 is an abundant number, since it is smaller than the sum of its proper divisors (2291122).

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

1542400 is an equidigital number, since it uses as much as digits as its factorization.

1542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1542400 is about 1241.9339757008. The cubic root of 1542400 is about 115.5399935213.

Adding to 1542400 its reverse (42451), we get a palindrome (1584851).

The spelling of 1542400 in words is "one million, five hundred forty-two thousand, four hundred".