1461197920 has 96 divisors (see below), whose sum is σ = 4248756288. Its totient is φ = 462440448.

The previous prime is 1461197909. The next prime is 1461197929. The reversal of 1461197920 is 297911641.

It is a super-2 number, since 2×1461197920² = 4270198722824652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461197929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35619 + ... + 64738.

It is an arithmetic number, because the mean of its divisors is an integer number (44257878).

Almost surely, 2^1461197920 is an apocalyptic number.

1461197920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461197920 is an abundant number, since it is smaller than the sum of its proper divisors (2787558368).

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

1461197920 is a wasteful number, since it uses less digits than its factorization.

1461197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100392 (or 100384 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 1461197920 is about 38225.6186346277. The cubic root of 1461197920 is about 1134.7573779367.

The spelling of 1461197920 in words is "one billion, four hundred sixty-one million, one hundred ninety-seven thousand, nine hundred twenty".