46465272 has 128 divisors (see below), whose sum is σ = 149760000. Its totient is φ = 13074048.

The previous prime is 46465271. The next prime is 46465319. The reversal of 46465272 is 27256464.

46465272 is a `hidden beast` number, since 4 + 646 + 5 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (80640) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46465271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119254 + ... + 119642.

It is an arithmetic number, because the mean of its divisors is an integer number (1170000).

Almost surely, 2^46465272 is an apocalyptic number.

46465272 is a gapful number since it is divisible by the number (42) 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 46465272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880000).

46465272 is an abundant number, since it is smaller than the sum of its proper divisors (103294728).

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

46465272 is a wasteful number, since it uses less digits than its factorization.

46465272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 46465272 is about 6816.5439923762. The cubic root of 46465272 is about 359.5087744645.

The spelling of 46465272 in words is "forty-six million, four hundred sixty-five thousand, two hundred seventy-two".