1577473952 has 48 divisors (see below), whose sum is σ = 3246324480. Its totient is φ = 753130752.

The previous prime is 1577473951. The next prime is 1577473957. The reversal of 1577473952 is 2593747751.

It is a self number, because there is not a number n which added to its sum of digits gives 1577473952.

It is not an unprimeable number, because it can be changed into a prime (1577473951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520313 + ... + 523335.

It is an arithmetic number, because the mean of its divisors is an integer number (67631760).

Almost surely, 2^1577473952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1577473952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623162240).

1577473952 is an abundant number, since it is smaller than the sum of its proper divisors (1668850528).

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

1577473952 is a wasteful number, since it uses less digits than its factorization.

1577473952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3757 counting only the distinct ones).

The product of its digits is 1852200, while the sum is 50.

The square root of 1577473952 is about 39717.4263013101. The cubic root of 1577473952 is about 1164.0922526601.

The spelling of 1577473952 in words is "one billion, five hundred seventy-seven million, four hundred seventy-three thousand, nine hundred fifty-two".