1952672904 has 384 divisors, whose sum is σ = 7057290240. Its totient is φ = 473112576.

The previous prime is 1952672851. The next prime is 1952672923. The reversal of 1952672904 is 4092762591.

It is a self number, because there is not a number n which added to its sum of digits gives 1952672904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5234862 + ... + 5235234.

It is an arithmetic number, because the mean of its divisors is an integer number (18378360).

Almost surely, 2^1952672904 is an apocalyptic number.

1952672904 is a gapful number since it is divisible by the number (14) 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 1952672904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528645120).

1952672904 is an abundant number, since it is smaller than the sum of its proper divisors (5104617336).

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

1952672904 is a wasteful number, since it uses less digits than its factorization.

1952672904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1952672904 is about 44189.0586457779. The cubic root of 1952672904 is about 1249.9035454107.

The spelling of 1952672904 in words is "one billion, nine hundred fifty-two million, six hundred seventy-two thousand, nine hundred four".