991770480 has 240 divisors, whose sum is σ = 3658453344. Its totient is φ = 248832000.

The previous prime is 991770469. The next prime is 991770499. The reversal of 991770480 is 84077199.

991770480 is a `hidden beast` number, since 99 + 17 + 70 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328980 + ... + 331980.

Almost surely, 2^991770480 is an apocalyptic number.

991770480 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 991770480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829226672).

991770480 is an abundant number, since it is smaller than the sum of its proper divisors (2666682864).

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

991770480 is a wasteful number, since it uses less digits than its factorization.

991770480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 991770480 is about 31492.3876516215. The cubic root of 991770480 is about 997.2492670729.

The spelling of 991770480 in words is "nine hundred ninety-one million, seven hundred seventy thousand, four hundred eighty".