46238400 has 378 divisors, whose sum is σ = 187322460. Its totient is φ = 10782720.

The previous prime is 46238399. The next prime is 46238407. The reversal of 46238400 is 483264.

It is not an unprimeable number, because it can be changed into a prime (46238407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2433591 + ... + 2433609.

Almost surely, 2^46238400 is an apocalyptic number.

46238400 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 46238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93661230).

46238400 is an abundant number, since it is smaller than the sum of its proper divisors (141084060).

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

46238400 is a wasteful number, since it uses less digits than its factorization.

46238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 46238400 is about 6799.8823519235. The cubic root of 46238400 is about 358.9227053534.

The spelling of 46238400 in words is "forty-six million, two hundred thirty-eight thousand, four hundred".