46913600 has 84 divisors (see below), whose sum is σ = 116928900. Its totient is φ = 18524160.

The previous prime is 46913599. The next prime is 46913617. The reversal of 46913600 is 631964.

It can be written as a sum of positive squares in 6 ways, for example, as 4194304 + 42719296 = 2048^2 + 6536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174266 + ... + 174534.

Almost surely, 2^46913600 is an apocalyptic number.

46913600 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 46913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58464450).

46913600 is an abundant number, since it is smaller than the sum of its proper divisors (70015300).

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

46913600 is a wasteful number, since it uses less digits than its factorization.

46913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 46913600 is about 6849.3503341558. The cubic root of 46913600 is about 360.6613357935.

The spelling of 46913600 in words is "forty-six million, nine hundred thirteen thousand, six hundred".