95460480 has 96 divisors (see below), whose sum is σ = 329656860. Its totient is φ = 25454592.

The previous prime is 95460467. The next prime is 95460493. The reversal of 95460480 is 8406459.

It is an interprime number because it is at equal distance from previous prime (95460467) and next prime (95460493).

It can be written as a sum of positive squares in 2 ways, for example, as 95413824 + 46656 = 9768^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×95460480² = 18225406483660800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2527 + ... + 14046.

Almost surely, 2^95460480 is an apocalyptic number.

95460480 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 95460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828430).

95460480 is an abundant number, since it is smaller than the sum of its proper divisors (234196380).

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

95460480 is a wasteful number, since it uses less digits than its factorization.

95460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16598 (or 16583 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 95460480 is about 9770.3879145098. The cubic root of 95460480 is about 457.0263125524.

The spelling of 95460480 in words is "ninety-five million, four hundred sixty thousand, four hundred eighty".