150460416 has 120 divisors (see below), whose sum is σ = 449909460. Its totient is φ = 50098176.

The previous prime is 150460403. The next prime is 150460417. The reversal of 150460416 is 614064051.

150460416 is a `hidden beast` number, since 1 + 50 + 4 + 604 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 150460416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150460417) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165435 + ... + 166341.

Almost surely, 2^150460416 is an apocalyptic number.

150460416 is a gapful number since it is divisible by the number (16) 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 150460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224954730).

150460416 is an abundant number, since it is smaller than the sum of its proper divisors (299449044).

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

150460416 is an frugal number, since it uses more digits than its factorization.

150460416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150460416 is about 12266.2307168910. The cubic root of 150460416 is about 531.8723571133.

The spelling of 150460416 in words is "one hundred fifty million, four hundred sixty thousand, four hundred sixteen".