9459414720 has 504 divisors, whose sum is σ = 40085064864. Its totient is φ = 2034450432.

The previous prime is 9459414691. The next prime is 9459414739. The reversal of 9459414720 is 274149549.

9459414720 is a `hidden beast` number, since 94 + 5 + 94 + 1 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2397069 + ... + 2401011.

Almost surely, 2^9459414720 is an apocalyptic number.

9459414720 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 9459414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042532432).

9459414720 is an abundant number, since it is smaller than the sum of its proper divisors (30625650144).

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

9459414720 is a wasteful number, since it uses less digits than its factorization.

9459414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9459414720 is about 97259.5225157928. The cubic root of 9459414720 is about 2114.8914854709.

The spelling of 9459414720 in words is "nine billion, four hundred fifty-nine million, four hundred fourteen thousand, seven hundred twenty".