1925464320 has 648 divisors, whose sum is σ = 7702478784. Its totient is φ = 442810368.

The previous prime is 1925464301. The next prime is 1925464361. The reversal of 1925464320 is 234645291.

It is a happy number.

1925464320 is a `hidden beast` number, since 1 + 9 + 2 + 5 + 4 + 643 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44778219 + ... + 44778261.

Almost surely, 2^1925464320 is an apocalyptic number.

1925464320 is a gapful number since it is divisible by the number (10) 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 1925464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851239392).

1925464320 is an abundant number, since it is smaller than the sum of its proper divisors (5777014464).

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

1925464320 is a wasteful number, since it uses less digits than its factorization.

1925464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1925464320 is about 43880.1130354059. The cubic root of 1925464320 is about 1244.0709767439.

The spelling of 1925464320 in words is "one billion, nine hundred twenty-five million, four hundred sixty-four thousand, three hundred twenty".