46890900 has 180 divisors, whose sum is σ = 173926368. Its totient is φ = 10704960.

The previous prime is 46890889. The next prime is 46890901. The reversal of 46890900 is 909864.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46890901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56287 + ... + 57113.

Almost surely, 2^46890900 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 46890900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86963184).

46890900 is an abundant number, since it is smaller than the sum of its proper divisors (127035468).

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

46890900 is a wasteful number, since it uses less digits than its factorization.

46890900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 46890900 is about 6847.6930421858. The cubic root of 46890900 is about 360.6031555561.

The spelling of 46890900 in words is "forty-six million, eight hundred ninety thousand, nine hundred".