46950624 has 144 divisors (see below), whose sum is σ = 159440400. Its totient is φ = 13402368.

The previous prime is 46950571. The next prime is 46950641. The reversal of 46950624 is 42605964.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×46950624² = 4408722187978752, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41782 + ... + 42890.

It is an arithmetic number, because the mean of its divisors is an integer number (1107225).

Almost surely, 2^46950624 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 46950624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79720200).

46950624 is an abundant number, since it is smaller than the sum of its proper divisors (112489776).

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

46950624 is a wasteful number, since it uses less digits than its factorization.

46950624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 46950624 is about 6852.0525392031. The cubic root of 46950624 is about 360.7561882748.

It can be divided in two parts, 46950 and 624, that added together give a palindrome (47574).

The spelling of 46950624 in words is "forty-six million, nine hundred fifty thousand, six hundred twenty-four".