46445700 has 144 divisors (see below), whose sum is σ = 162739584. Its totient is φ = 9984000.

The previous prime is 46445699. The next prime is 46445701. The reversal of 46445700 is 754464.

It is an interprime number because it is at equal distance from previous prime (46445699) and next prime (46445701).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46445701) 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, 35050 + ... + 36350.

It is an arithmetic number, because the mean of its divisors is an integer number (1130136).

Almost surely, 2^46445700 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 46445700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81369792).

46445700 is an abundant number, since it is smaller than the sum of its proper divisors (116293884).

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

46445700 is a wasteful number, since it uses less digits than its factorization.

46445700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 46445700 is about 6815.1082163088. The cubic root of 46445700 is about 359.4582902096.

It can be divided in two parts, 464 and 45700, that added together give a palindrome (46164).

The spelling of 46445700 in words is "forty-six million, four hundred forty-five thousand, seven hundred".