957609450 has 216 divisors, whose sum is σ = 3024178092. Its totient is φ = 216599040.

The previous prime is 957609431. The next prime is 957609461. The reversal of 957609450 is 54906759.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 155077209 + 802532241 = 12453^2 + 28329^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 957609396 and 957609405.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3020692 + ... + 3021008.

Almost surely, 2^957609450 is an apocalyptic number.

957609450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 957609450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512089046).

957609450 is an abundant number, since it is smaller than the sum of its proper divisors (2066568642).

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

957609450 is a wasteful number, since it uses less digits than its factorization.

957609450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 957609450 is about 30945.2653890704. The cubic root of 957609450 is about 985.6653153276.

The spelling of 957609450 in words is "nine hundred fifty-seven million, six hundred nine thousand, four hundred fifty".