1461878496 has 192 divisors, whose sum is σ = 4626619200. Its totient is φ = 446404608.

The previous prime is 1461878479. The next prime is 1461878513. The reversal of 1461878496 is 6948781641.

1461878496 is a `hidden beast` number, since 14 + 61 + 87 + 8 + 496 = 666.

1461878496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1461878479) and next prime (1461878513).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763010 + ... + 1763838.

It is an arithmetic number, because the mean of its divisors is an integer number (24096975).

Almost surely, 2^1461878496 is an apocalyptic number.

1461878496 is a gapful number since it is divisible by the number (16) 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 1461878496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313309600).

1461878496 is an abundant number, since it is smaller than the sum of its proper divisors (3164740704).

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

1461878496 is a wasteful number, since it uses less digits than its factorization.

1461878496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1004 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1461878496 is about 38234.5196909808. The cubic root of 1461878496 is about 1134.9335276459.

The spelling of 1461878496 in words is "one billion, four hundred sixty-one million, eight hundred seventy-eight thousand, four hundred ninety-six".