46674100 has 72 divisors (see below), whose sum is σ = 111617856. Its totient is φ = 16800000.

The previous prime is 46674091. The next prime is 46674109. The reversal of 46674100 is 147664.

It is an interprime number because it is at equal distance from previous prime (46674091) and next prime (46674109).

It is a super-2 number, since 2×46674100² = 4356943221620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46674109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165960 + ... + 166240.

It is an arithmetic number, because the mean of its divisors is an integer number (1550248).

Almost surely, 2^46674100 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 46674100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55808928).

46674100 is an abundant number, since it is smaller than the sum of its proper divisors (64943756).

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

46674100 is a wasteful number, since it uses less digits than its factorization.

46674100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 46674100 is about 6831.8445532667. The cubic root of 46674100 is about 360.0465474792.

The spelling of 46674100 in words is "forty-six million, six hundred seventy-four thousand, one hundred".