95190480 has 480 divisors, whose sum is σ = 426187008. Its totient is φ = 18432000.

The previous prime is 95190443. The next prime is 95190493. The reversal of 95190480 is 8409159.

95190480 is a `hidden beast` number, since 95 + 1 + 90 + 480 = 666.

It is a super-2 number, since 2×95190480² = 18122454965260800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 942430 + ... + 942530.

Almost surely, 2^95190480 is an apocalyptic number.

95190480 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 95190480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213093504).

95190480 is an abundant number, since it is smaller than the sum of its proper divisors (330996528).

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

95190480 is a wasteful number, since it uses less digits than its factorization.

95190480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 95190480 is about 9756.5608694867. The cubic root of 95190480 is about 456.5950219417.

The spelling of 95190480 in words is "ninety-five million, one hundred ninety thousand, four hundred eighty".