1031540400 has 480 divisors, whose sum is σ = 4225324800. Its totient is φ = 236390400.

The previous prime is 1031540369. The next prime is 1031540449. The reversal of 1031540400 is 40451301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2256972 + ... + 2257428.

It is an arithmetic number, because the mean of its divisors is an integer number (8802760).

Almost surely, 2^1031540400 is an apocalyptic number.

1031540400 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 1031540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112662400).

1031540400 is an abundant number, since it is smaller than the sum of its proper divisors (3193784400).

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

1031540400 is a wasteful number, since it uses less digits than its factorization.

1031540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1031540400 is about 32117.6026502602. The cubic root of 1031540400 is about 1010.4048306876.

Adding to 1031540400 its reverse (40451301), we get a palindrome (1071991701).

The spelling of 1031540400 in words is "one billion, thirty-one million, five hundred forty thousand, four hundred".