1952231904 has 288 divisors, whose sum is σ = 6725182464. Its totient is φ = 525127680.

The previous prime is 1952231891. The next prime is 1952231909. The reversal of 1952231904 is 4091322591.

1952231904 is a `hidden beast` number, since 19 + 522 + 31 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1952231904² = 7622418813990930432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952231909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3291832 + ... + 3292424.

It is an arithmetic number, because the mean of its divisors is an integer number (23351328).

Almost surely, 2^1952231904 is an apocalyptic number.

1952231904 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 1952231904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362591232).

1952231904 is an abundant number, since it is smaller than the sum of its proper divisors (4772950560).

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

1952231904 is a wasteful number, since it uses less digits than its factorization.

1952231904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1952231904 is about 44184.0684410116. The cubic root of 1952231904 is about 1249.8094438055.

The spelling of 1952231904 in words is "one billion, nine hundred fifty-two million, two hundred thirty-one thousand, nine hundred four".