1977272460 has 72 divisors (see below), whose sum is σ = 6056013600. Its totient is φ = 522148608.

The previous prime is 1977272399. The next prime is 1977272491. The reversal of 1977272460 is 642727791.

1977272460 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34785 + ... + 71864.

It is an arithmetic number, because the mean of its divisors is an integer number (84111300).

Almost surely, 2^1977272460 is an apocalyptic number.

1977272460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1977272460 is an abundant number, since it is smaller than the sum of its proper divisors (4078741140).

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

1977272460 is a wasteful number, since it uses less digits than its factorization.

1977272460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106767 (or 106762 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 1977272460 is about 44466.5319088413. The cubic root of 1977272460 is about 1255.1303727462.

The spelling of 1977272460 in words is "one billion, nine hundred seventy-seven million, two hundred seventy-two thousand, four hundred sixty".