46260800 has 84 divisors (see below), whose sum is σ = 117873780. Its totient is φ = 17848320.

The previous prime is 46260787. The next prime is 46260803. The reversal of 46260800 is 806264.

It can be written as a sum of positive squares in 6 ways, for example, as 238144 + 46022656 = 488^2 + 6784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46260800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46260803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45902 + ... + 46898.

Almost surely, 2^46260800 is an apocalyptic number.

46260800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58936890).

46260800 is an abundant number, since it is smaller than the sum of its proper divisors (71612980).

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

46260800 is a wasteful number, since it uses less digits than its factorization.

46260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 46260800 is about 6801.5292398107. The cubic root of 46260800 is about 358.9806555323.

The spelling of 46260800 in words is "forty-six million, two hundred sixty thousand, eight hundred".