456060150 has 432 divisors, whose sum is σ = 1613115504. Its totient is φ = 91445760.

The previous prime is 456060149. The next prime is 456060151. The reversal of 456060150 is 51060654.

It is a happy number.

456060150 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 601 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (456060149) and next prime (456060151).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456060151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10606029 + ... + 10606071.

Almost surely, 2^456060150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456060150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806557752).

456060150 is an abundant number, since it is smaller than the sum of its proper divisors (1157055354).

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

456060150 is a wasteful number, since it uses less digits than its factorization.

456060150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 456060150 is about 21355.5648485354. The cubic root of 456060150 is about 769.7340679462.

The spelling of 456060150 in words is "four hundred fifty-six million, sixty thousand, one hundred fifty".