1920479760 has 640 divisors, whose sum is σ = 7542374400. Its totient is φ = 447068160.

The previous prime is 1920479741. The next prime is 1920479779. The reversal of 1920479760 is 679740291.

It is an interprime number because it is at equal distance from previous prime (1920479741) and next prime (1920479779).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44662299 + ... + 44662341.

It is an arithmetic number, because the mean of its divisors is an integer number (11784960).

Almost surely, 2^1920479760 is an apocalyptic number.

1920479760 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 1920479760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771187200).

1920479760 is an abundant number, since it is smaller than the sum of its proper divisors (5621894640).

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

1920479760 is a wasteful number, since it uses less digits than its factorization.

1920479760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1920479760 is about 43823.2787454339. The cubic root of 1920479760 is about 1242.9965163898.

The spelling of 1920479760 in words is "one billion, nine hundred twenty million, four hundred seventy-nine thousand, seven hundred sixty".