46142800 has 60 divisors (see below), whose sum is σ = 120947616. Its totient is φ = 16777600.

The previous prime is 46142749. The next prime is 46142801. The reversal of 46142800 is 824164.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46142801) 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, 844 + ... + 9643.

Almost surely, 2^46142800 is an apocalyptic number.

46142800 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 46142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60473808).

46142800 is an abundant number, since it is smaller than the sum of its proper divisors (74804816).

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

46142800 is a wasteful number, since it uses less digits than its factorization.

46142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 46142800 is about 6792.8491813082. The cubic root of 46142800 is about 358.6751716604.

Adding to 46142800 its reverse (824164), we get a palindrome (46966964).

The spelling of 46142800 in words is "forty-six million, one hundred forty-two thousand, eight hundred".