1461760400 has 120 divisors (see below), whose sum is σ = 3728064960. Its totient is φ = 549598720.

The previous prime is 1461760397. The next prime is 1461760409. The reversal of 1461760400 is 40671641.

It is not an unprimeable number, because it can be changed into a prime (1461760409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541454 + ... + 544146.

It is an arithmetic number, because the mean of its divisors is an integer number (31067208).

Almost surely, 2^1461760400 is an apocalyptic number.

1461760400 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 1461760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864032480).

1461760400 is an abundant number, since it is smaller than the sum of its proper divisors (2266304560).

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

1461760400 is a wasteful number, since it uses less digits than its factorization.

1461760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1461760400 is about 38232.9752962021. The cubic root of 1461760400 is about 1134.9029654345.

The spelling of 1461760400 in words is "one billion, four hundred sixty-one million, seven hundred sixty thousand, four hundred".