150409680 has 80 divisors (see below), whose sum is σ = 472231680. Its totient is φ = 39596544.

The previous prime is 150409669. The next prime is 150409691. The reversal of 150409680 is 86904051.

It is an interprime number because it is at equal distance from previous prime (150409669) and next prime (150409691).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×150409680⁴ (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14994 + ... + 22926.

It is an arithmetic number, because the mean of its divisors is an integer number (5902896).

Almost surely, 2^150409680 is an apocalyptic number.

150409680 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 150409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236115840).

150409680 is an abundant number, since it is smaller than the sum of its proper divisors (321822000).

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

150409680 is a wasteful number, since it uses less digits than its factorization.

150409680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 150409680 is about 12264.1624255389. The cubic root of 150409680 is about 531.8125670583.

The spelling of 150409680 in words is "one hundred fifty million, four hundred nine thousand, six hundred eighty".