164958480 has 120 divisors (see below), whose sum is σ = 586616472. Its totient is φ = 41398272.

The previous prime is 164958439. The next prime is 164958503. The reversal of 164958480 is 84859461.

164958480 is a `hidden beast` number, since 1 + 6 + 495 + 84 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47279376 + 117679104 = 6876^2 + 10848^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×164958480² = 54422600247820800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5502 + ... + 18978.

Almost surely, 2^164958480 is an apocalyptic number.

164958480 is a gapful number since it is divisible by the number (10) 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 164958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293308236).

164958480 is an abundant number, since it is smaller than the sum of its proper divisors (421657992).

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

164958480 is a wasteful number, since it uses less digits than its factorization.

164958480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13513 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 164958480 is about 12843.6163131729. The cubic root of 164958480 is about 548.4346454913.

The spelling of 164958480 in words is "one hundred sixty-four million, nine hundred fifty-eight thousand, four hundred eighty".