1540312400 has 120 divisors (see below), whose sum is σ = 4054558944. Its totient is φ = 557683200.

The previous prime is 1540312343. The next prime is 1540312441. The reversal of 1540312400 is 42130451.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244582 + ... + 1245818.

Almost surely, 2^1540312400 is an apocalyptic number.

1540312400 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 1540312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027279472).

1540312400 is an abundant number, since it is smaller than the sum of its proper divisors (2514246544).

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

1540312400 is a wasteful number, since it uses less digits than its factorization.

1540312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1540312400 is about 39246.8138834224. The cubic root of 1540312400 is about 1154.8784315119.

Adding to 1540312400 its reverse (42130451), we get a palindrome (1582442851).

The spelling of 1540312400 in words is "one billion, five hundred forty million, three hundred twelve thousand, four hundred".