1461399840 has 96 divisors (see below), whose sum is σ = 5114914560. Its totient is φ = 389705472.

The previous prime is 1461399761. The next prime is 1461399881. The reversal of 1461399840 is 489931641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164824 + ... + 173463.

It is an arithmetic number, because the mean of its divisors is an integer number (53280360).

Almost surely, 2^1461399840 is an apocalyptic number.

1461399840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461399840 is an abundant number, since it is smaller than the sum of its proper divisors (3653514720).

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

1461399840 is a wasteful number, since it uses less digits than its factorization.

1461399840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338311 (or 338297 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1461399840 is about 38228.2597040462. The cubic root of 1461399840 is about 1134.8096454753.

The spelling of 1461399840 in words is "one billion, four hundred sixty-one million, three hundred ninety-nine thousand, eight hundred forty".