46745600 has 144 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 16793600.

The previous prime is 46745599. The next prime is 46745639. The reversal of 46745600 is 654764.

It is a super-2 number, since 2×46745600² = 4370302238720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563159 + ... + 563241.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^46745600 is an apocalyptic number.

46745600 is a gapful number since it is divisible by the number (40) 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 46745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

46745600 is an abundant number, since it is smaller than the sum of its proper divisors (81214960).

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

46745600 is a wasteful number, since it uses less digits than its factorization.

46745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 46745600 is about 6837.0753981509. The cubic root of 46745600 is about 360.2303053087.

The spelling of 46745600 in words is "forty-six million, seven hundred forty-five thousand, six hundred".