46551120 has 240 divisors, whose sum is σ = 182071680. Its totient is φ = 9630720.

The previous prime is 46551077. The next prime is 46551157. The reversal of 46551120 is 2115564.

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 a congruent number.

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, 203166 + ... + 203394.

It is an arithmetic number, because the mean of its divisors is an integer number (758632).

Almost surely, 2^46551120 is an apocalyptic number.

46551120 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 46551120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91035840).

46551120 is an abundant number, since it is smaller than the sum of its proper divisors (135520560).

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

46551120 is a wasteful number, since it uses less digits than its factorization.

46551120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 46551120 is about 6822.8381191407. The cubic root of 46551120 is about 359.7300445310.

Adding to 46551120 its reverse (2115564), we get a palindrome (48666684).

Subtracting from 46551120 its reverse (2115564), we obtain a square (44435556 = 6666²).

It can be divided in two parts, 4655 and 1120, that added together give a palindrome (5775).

The spelling of 46551120 in words is "forty-six million, five hundred fifty-one thousand, one hundred twenty".