46800153 has 32 divisors (see below), whose sum is σ = 72230400. Its totient is φ = 29922048.

The previous prime is 46800151. The next prime is 46800161. The reversal of 46800153 is 35100864.

It is not a de Polignac number, because 46800153 - 2¹ = 46800151 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46800151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78625 + ... + 79217.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 2^46800153 is an apocalyptic number.

It is an amenable number.

46800153 is a deficient number, since it is larger than the sum of its proper divisors (25430247).

46800153 is a wasteful number, since it uses less digits than its factorization.

46800153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 46800153 is about 6841.0637330754. The cubic root of 46800153 is about 360.3703826934.

The spelling of 46800153 in words is "forty-six million, eight hundred thousand, one hundred fifty-three".