46620900 has 144 divisors (see below), whose sum is σ = 154990080. Its totient is φ = 12009600.

The previous prime is 46620883. The next prime is 46620911. The reversal of 46620900 is 902664.

46620900 = T₆ + T₇ + ... + T₆₅₃.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83422 + ... + 83978.

It is an arithmetic number, because the mean of its divisors is an integer number (1076320).

Almost surely, 2^46620900 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 46620900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

46620900 is an abundant number, since it is smaller than the sum of its proper divisors (108369180).

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

46620900 is a wasteful number, since it uses less digits than its factorization.

46620900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 46620900 is about 6827.9499119428. The cubic root of 46620900 is about 359.9096995737.

The spelling of 46620900 in words is "forty-six million, six hundred twenty thousand, nine hundred".