46905600 has 216 divisors, whose sum is σ = 177419200. Its totient is φ = 10690560.

The previous prime is 46905587. The next prime is 46905613. The reversal of 46905600 is 650964.

It is an interprime number because it is at equal distance from previous prime (46905587) and next prime (46905613).

It is a super-2 number, since 2×46905600² = 4400270622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 134226 + ... + 134574.

Almost surely, 2^46905600 is an apocalyptic number.

46905600 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 46905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88709600).

46905600 is an abundant number, since it is smaller than the sum of its proper divisors (130513600).

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

46905600 is a wasteful number, since it uses less digits than its factorization.

46905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 46905600 is about 6848.7663122638. The cubic root of 46905600 is about 360.6408338871.

The spelling of 46905600 in words is "forty-six million, nine hundred five thousand, six hundred".