46226900 has 36 divisors (see below), whose sum is σ = 101256540. Its totient is φ = 18316800.

The previous prime is 46226891. The next prime is 46226911. The reversal of 46226900 is 962264.

46226900 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3794704 + 42432196 = 1948^2 + 6514^2 .

It is a super-3 number, since 3×46226900³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

46226900 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8780 + ... + 13020.

Almost surely, 2^46226900 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 46226900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50628270).

46226900 is an abundant number, since it is smaller than the sum of its proper divisors (55029640).

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

46226900 is a wasteful number, since it uses less digits than its factorization.

46226900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 46226900 is about 6799.0366964740. The cubic root of 46226900 is about 358.8929468745.

The spelling of 46226900 in words is "forty-six million, two hundred twenty-six thousand, nine hundred".