1461900080 has 40 divisors (see below), whose sum is σ = 3408612192. Its totient is φ = 583092224.

The previous prime is 1461900067. The next prime is 1461900101. The reversal of 1461900080 is 800091641.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2357 + ... + 54123.

Almost surely, 2^1461900080 is an apocalyptic number.

1461900080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461900080 is an abundant number, since it is smaller than the sum of its proper divisors (1946712112).

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

1461900080 is a wasteful number, since it uses less digits than its factorization.

1461900080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52133 (or 52127 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1461900080 is about 38234.8019479636. The cubic root of 1461900080 is about 1134.9391132184.

The spelling of 1461900080 in words is "one billion, four hundred sixty-one million, nine hundred thousand, eighty".