46042800 has 240 divisors, whose sum is σ = 163016352. Its totient is φ = 11059200.

The previous prime is 46042793. The next prime is 46042811. The reversal of 46042800 is 824064.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754770 + ... + 754830.

Almost surely, 2^46042800 is an apocalyptic number.

46042800 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 46042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81508176).

46042800 is an abundant number, since it is smaller than the sum of its proper divisors (116973552).

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

46042800 is a wasteful number, since it uses less digits than its factorization.

46042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

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

The square root of 46042800 is about 6785.4845073878. The cubic root of 46042800 is about 358.4158790663.

Adding to 46042800 its reverse (824064), we get a palindrome (46866864).

The spelling of 46042800 in words is "forty-six million, forty-two thousand, eight hundred".