46485120 has 256 divisors, whose sum is σ = 169205760. Its totient is φ = 10752000.

The previous prime is 46485119. The next prime is 46485133. The reversal of 46485120 is 2158464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654685 + ... + 654755.

It is an arithmetic number, because the mean of its divisors is an integer number (660960).

Almost surely, 2^46485120 is an apocalyptic number.

46485120 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 46485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84602880).

46485120 is an abundant number, since it is smaller than the sum of its proper divisors (122720640).

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

46485120 is a wasteful number, since it uses less digits than its factorization.

46485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 46485120 is about 6817.9997066588. Note that the first 3 decimals coincide. The cubic root of 46485120 is about 359.5599561614.

The spelling of 46485120 in words is "forty-six million, four hundred eighty-five thousand, one hundred twenty".