153964944 has 240 divisors, whose sum is σ = 533894400. Its totient is φ = 40449024.

The previous prime is 153964939. The next prime is 153964969. The reversal of 153964944 is 449469351.

153964944 is a `hidden beast` number, since 153 + 9 + 6 + 494 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 153964944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672222 + ... + 672450.

It is an arithmetic number, because the mean of its divisors is an integer number (2224560).

Almost surely, 2^153964944 is an apocalyptic number.

153964944 is a gapful number since it is divisible by the number (14) 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 153964944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266947200).

153964944 is an abundant number, since it is smaller than the sum of its proper divisors (379929456).

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

153964944 is a wasteful number, since it uses less digits than its factorization.

153964944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 153964944 is about 12408.2611191093. The cubic root of 153964944 is about 535.9701661571.

The spelling of 153964944 in words is "one hundred fifty-three million, nine hundred sixty-four thousand, nine hundred forty-four".