46654272 has 336 divisors, whose sum is σ = 173736000. Its totient is φ = 12192768.

The previous prime is 46654271. The next prime is 46654297. The reversal of 46654272 is 27245664.

46654272 is a `hidden beast` number, since 46 + 6 + 542 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46654271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1608754 + ... + 1608782.

Almost surely, 2^46654272 is an apocalyptic number.

46654272 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 46654272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86868000).

46654272 is an abundant number, since it is smaller than the sum of its proper divisors (127081728).

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

46654272 is a wasteful number, since it uses less digits than its factorization.

46654272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

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

The square root of 46654272 is about 6830.3932536861. The cubic root of 46654272 is about 359.9955555007.

The spelling of 46654272 in words is "forty-six million, six hundred fifty-four thousand, two hundred seventy-two".