46426080 has 72 divisors (see below), whose sum is σ = 146713896. Its totient is φ = 12340480.

The previous prime is 46426073. The next prime is 46426087. The reversal of 46426080 is 8062464.

It is an interprime number because it is at equal distance from previous prime (46426073) and next prime (46426087).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46426087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149125 + ... + 149435.

It is an arithmetic number, because the mean of its divisors is an integer number (2037693).

Almost surely, 2^46426080 is an apocalyptic number.

46426080 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 46426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73356948).

46426080 is an abundant number, since it is smaller than the sum of its proper divisors (100287816).

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

46426080 is an equidigital number, since it uses as much as digits as its factorization.

46426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 46426080 is about 6813.6686153643. The cubic root of 46426080 is about 359.4076679062.

Multiplying 46426080 by its sum of digits (30), we get a square (1392782400 = 37320²).

46426080 divided by its sum of digits (30) gives a square (1547536 = 1244²).

The spelling of 46426080 in words is "forty-six million, four hundred twenty-six thousand, eighty".