45953800 has 24 divisors (see below), whose sum is σ = 106843050. Its totient is φ = 18381440.

The previous prime is 45953797. The next prime is 45953813. The reversal of 45953800 is 835954.

It can be written as a sum of positive squares in 3 ways, for example, as 27857284 + 18096516 = 5278^2 + 4254^2 .

It is a super-2 number, since 2×45953800² = 4223503468880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114685 + ... + 115084.

Almost surely, 2^45953800 is an apocalyptic number.

45953800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45953800 is an abundant number, since it is smaller than the sum of its proper divisors (60889250).

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

45953800 is a wasteful number, since it uses less digits than its factorization.

45953800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229785 (or 229776 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 45953800 is about 6778.9232183290. The cubic root of 45953800 is about 358.1847927093.

The spelling of 45953800 in words is "forty-five million, nine hundred fifty-three thousand, eight hundred".