9420465600 has 1134 divisors, whose sum is σ = 42709520880. Its totient is φ = 1962455040.

The previous prime is 9420465599. The next prime is 9420465611. The reversal of 9420465600 is 65640249.

9420465600 is a `hidden beast` number, since 9 + 4 + 2 + 0 + 46 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 119246361 + ... + 119246439.

Almost surely, 2^9420465600 is an apocalyptic number.

9420465600 is a gapful number since it is divisible by the number (90) 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 9420465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354760440).

9420465600 is an abundant number, since it is smaller than the sum of its proper divisors (33289055280).

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

9420465600 is a wasteful number, since it uses less digits than its factorization.

9420465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

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

The square root of 9420465600 is about 97059.0830370862. The cubic root of 9420465600 is about 2111.9848053315.

The spelling of 9420465600 in words is "nine billion, four hundred twenty million, four hundred sixty-five thousand, six hundred".