46245120 has 72 divisors (see below), whose sum is σ = 147707616. Its totient is φ = 12331008.

The previous prime is 46245119. The next prime is 46245127. The reversal of 46245120 is 2154264.

It is a super-2 number, since 2×46245120² = 4277222247628800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46245127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2182 + ... + 9861.

Almost surely, 2^46245120 is an apocalyptic number.

46245120 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 46245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73853808).

46245120 is an abundant number, since it is smaller than the sum of its proper divisors (101462496).

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

46245120 is a wasteful number, since it uses less digits than its factorization.

46245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12067 (or 12053 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 46245120 is about 6800.3764601675. The cubic root of 46245120 is about 358.9400923719.

Adding to 46245120 its reverse (2154264), we get a palindrome (48399384).

The spelling of 46245120 in words is "forty-six million, two hundred forty-five thousand, one hundred twenty".