46800819 has 48 divisors (see below), whose sum is σ = 78842400. Its totient is φ = 26500608.

The previous prime is 46800799. The next prime is 46800821. The reversal of 46800819 is 91800864.

It is a happy number.

It is not a de Polignac number, because 46800819 - 2⁸ = 46800563 is a prime.

It is a super-2 number, since 2×46800819² = 4380633318141522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46800829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81967 + ... + 82535.

It is an arithmetic number, because the mean of its divisors is an integer number (1642550).

Almost surely, 2^46800819 is an apocalyptic number.

46800819 is a deficient number, since it is larger than the sum of its proper divisors (32041581).

46800819 is a wasteful number, since it uses less digits than its factorization.

46800819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 46800819 is about 6841.1124095428. The cubic root of 46800819 is about 360.3720921289.

The spelling of 46800819 in words is "forty-six million, eight hundred thousand, eight hundred nineteen".