1950492960 has 576 divisors, whose sum is σ = 7905485952. Its totient is φ = 449888256.

The previous prime is 1950492931. The next prime is 1950492967. The reversal of 1950492960 is 692940591.

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

It is not an unprimeable number, because it can be changed into a prime (1950492967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8592367 + ... + 8592593.

It is an arithmetic number, because the mean of its divisors is an integer number (13724802).

Almost surely, 2^1950492960 is an apocalyptic number.

1950492960 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 1950492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952742976).

1950492960 is an abundant number, since it is smaller than the sum of its proper divisors (5954992992).

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

1950492960 is a wasteful number, since it uses less digits than its factorization.

1950492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1950492960 is about 44164.3856517896. The cubic root of 1950492960 is about 1249.4382457169.

The spelling of 1950492960 in words is "one billion, nine hundred fifty million, four hundred ninety-two thousand, nine hundred sixty".