46766400 has 84 divisors (see below), whose sum is σ = 153448512. Its totient is φ = 12469760.

The previous prime is 46766389. The next prime is 46766407. The reversal of 46766400 is 466764.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46766407) 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, 72 + ... + 9671.

It is an arithmetic number, because the mean of its divisors is an integer number (1826768).

Almost surely, 2^46766400 is an apocalyptic number.

46766400 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 46766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76724256).

46766400 is an abundant number, since it is smaller than the sum of its proper divisors (106682112).

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

46766400 is a wasteful number, since it uses less digits than its factorization.

46766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9768 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 46766400 is about 6838.5963472046. The cubic root of 46766400 is about 360.2837269447.

The spelling of 46766400 in words is "forty-six million, seven hundred sixty-six thousand, four hundred".