1461315400 has 48 divisors (see below), whose sum is σ = 3405334500. Its totient is φ = 583188480.

The previous prime is 1461315389. The next prime is 1461315409. The reversal of 1461315400 is 45131641.

It can be written as a sum of positive squares in 6 ways, for example, as 1032079876 + 429235524 = 32126^2 + 20718^2 .

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 (1461315409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81664 + ... + 97936.

Almost surely, 2^1461315400 is an apocalyptic number.

1461315400 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 1461315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702667250).

1461315400 is an abundant number, since it is smaller than the sum of its proper divisors (1944019100).

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

1461315400 is a wasteful number, since it uses less digits than its factorization.

1461315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16738 (or 16729 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1461315400 is about 38227.1552695201. The cubic root of 1461315400 is about 1134.7877885384.

The spelling of 1461315400 in words is "one billion, four hundred sixty-one million, three hundred fifteen thousand, four hundred".