46820900 has 72 divisors (see below), whose sum is σ = 117034176. Its totient is φ = 15926400.

The previous prime is 46820897. The next prime is 46820903. The reversal of 46820900 is 902864.

It is an interprime number because it is at equal distance from previous prime (46820897) and next prime (46820903).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (46820903) 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, 147542 + ... + 147858.

Almost surely, 2^46820900 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 46820900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58517088).

46820900 is an abundant number, since it is smaller than the sum of its proper divisors (70213276).

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

46820900 is a wasteful number, since it uses less digits than its factorization.

46820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 46820900 is about 6842.5799228069. The cubic root of 46820900 is about 360.4236268198.

The spelling of 46820900 in words is "forty-six million, eight hundred twenty thousand, nine hundred".