46484900 has 72 divisors (see below), whose sum is σ = 125783616. Its totient is φ = 14486400.

The previous prime is 46484891. The next prime is 46484917. The reversal of 46484900 is 948464.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4682 + ... + 10718.

Almost surely, 2^46484900 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 46484900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62891808).

46484900 is an abundant number, since it is smaller than the sum of its proper divisors (79298716).

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

46484900 is a wasteful number, since it uses less digits than its factorization.

46484900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 46484900 is about 6817.9835728755. The cubic root of 46484900 is about 359.5593889310.

The spelling of 46484900 in words is "forty-six million, four hundred eighty-four thousand, nine hundred".