456122016 has 240 divisors, whose sum is σ = 1601195904. Its totient is φ = 124540416.

The previous prime is 456122011. The next prime is 456122021. The reversal of 456122016 is 610221654.

456122016 is a `hidden beast` number, since 45 + 612 + 2 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (456122011) and next prime (456122021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 416766 + ... + 417858.

Almost surely, 2^456122016 is an apocalyptic number.

456122016 is a gapful number since it is divisible by the number (46) 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 456122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800597952).

456122016 is an abundant number, since it is smaller than the sum of its proper divisors (1145073888).

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

456122016 is a wasteful number, since it uses less digits than its factorization.

456122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1128 counting only the distinct ones).

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

The square root of 456122016 is about 21357.0132743322. The cubic root of 456122016 is about 769.7688719918.

The spelling of 456122016 in words is "four hundred fifty-six million, one hundred twenty-two thousand, sixteen".