1540254400 has 126 divisors (see below), whose sum is σ = 4027251788. Its totient is φ = 579686400.

The previous prime is 1540254379. The next prime is 1540254403. The reversal of 1540254400 is 44520451.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1540254403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460735 + ... + 464065.

Almost surely, 2^1540254400 is an apocalyptic number.

1540254400 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 1540254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013625894).

1540254400 is an abundant number, since it is smaller than the sum of its proper divisors (2486997388).

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

1540254400 is a wasteful number, since it uses less digits than its factorization.

1540254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 1540254400 is about 39246.0749629820. The cubic root of 1540254400 is about 1154.8639357966.

Adding to 1540254400 its reverse (44520451), we get a palindrome (1584774851).

The spelling of 1540254400 in words is "one billion, five hundred forty million, two hundred fifty-four thousand, four hundred".