1904924952 has 480 divisors, whose sum is σ = 6920812800. Its totient is φ = 477290880.

The previous prime is 1904924941. The next prime is 1904924963. The reversal of 1904924952 is 2594294091.

It is an interprime number because it is at equal distance from previous prime (1904924941) and next prime (1904924963).

It is a junction number, because it is equal to n+sod(n) for n = 1904924898 and 1904924907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61449177 + ... + 61449207.

It is an arithmetic number, because the mean of its divisors is an integer number (14418360).

Almost surely, 2^1904924952 is an apocalyptic number.

1904924952 is a gapful number since it is divisible by the number (12) 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 1904924952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460406400).

1904924952 is an abundant number, since it is smaller than the sum of its proper divisors (5015887848).

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

1904924952 is a wasteful number, since it uses less digits than its factorization.

1904924952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1904924952 is about 43645.4459480024. The cubic root of 1904924952 is about 1239.6315572016.

The spelling of 1904924952 in words is "one billion, nine hundred four million, nine hundred twenty-four thousand, nine hundred fifty-two".