46749672 has 48 divisors (see below), whose sum is σ = 128232000. Its totient is φ = 15384096.

The previous prime is 46749649. The next prime is 46749673. The reversal of 46749672 is 27694764.

It is not an unprimeable number, because it can be changed into a prime (46749673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1579 + ... + 9797.

It is an arithmetic number, because the mean of its divisors is an integer number (2671500).

Almost surely, 2^46749672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46749672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64116000).

46749672 is an abundant number, since it is smaller than the sum of its proper divisors (81482328).

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

46749672 is a wasteful number, since it uses less digits than its factorization.

46749672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8310 (or 8303 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 46749672 is about 6837.3731798111. The cubic root of 46749672 is about 360.2407648686.

The spelling of 46749672 in words is "forty-six million, seven hundred forty-nine thousand, six hundred seventy-two".