46426400 has 72 divisors (see below), whose sum is σ = 114461424. Its totient is φ = 18387200.

The previous prime is 46426381. The next prime is 46426409. The reversal of 46426400 is 462464.

It is a self number, because there is not a number n which added to its sum of digits gives 46426400.

It is not an unprimeable number, because it can be changed into a prime (46426409) 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, 104579 + ... + 105021.

It is an arithmetic number, because the mean of its divisors is an integer number (1589742).

Almost surely, 2^46426400 is an apocalyptic number.

46426400 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 46426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57230712).

46426400 is an abundant number, since it is smaller than the sum of its proper divisors (68035024).

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

46426400 is a wasteful number, since it uses less digits than its factorization.

46426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 46426400 is about 6813.6920975342. The cubic root of 46426400 is about 359.4084936647.

Adding to 46426400 its reverse (462464), we get a palindrome (46888864).

The spelling of 46426400 in words is "forty-six million, four hundred twenty-six thousand, four hundred".