46028400 has 180 divisors, whose sum is σ = 162578136. Its totient is φ = 11123200.

The previous prime is 46028399. The next prime is 46028417. The reversal of 46028400 is 482064.

It is a super-2 number, since 2×46028400² = 4237227213120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145042 + ... + 145358.

Almost surely, 2^46028400 is an apocalyptic number.

46028400 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 46028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81289068).

46028400 is an abundant number, since it is smaller than the sum of its proper divisors (116549736).

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

46028400 is a wasteful number, since it uses less digits than its factorization.

46028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 46028400 is about 6784.4233358481. The cubic root of 46028400 is about 358.3785100183.

The spelling of 46028400 in words is "forty-six million, twenty-eight thousand, four hundred".