46484600 has 48 divisors (see below), whose sum is σ = 109721400. Its totient is φ = 18311040.

The previous prime is 46484597. The next prime is 46484639. The reversal of 46484600 is 648464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11666 + ... + 15134.

Almost surely, 2^46484600 is an apocalyptic number.

46484600 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 46484600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54860700).

46484600 is an abundant number, since it is smaller than the sum of its proper divisors (63236800).

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

46484600 is a wasteful number, since it uses less digits than its factorization.

46484600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 46484600 is about 6817.9615722003. The cubic root of 46484600 is about 359.5586154322.

The spelling of 46484600 in words is "forty-six million, four hundred eighty-four thousand, six hundred".