46405920 has 288 divisors, whose sum is σ = 173746944. Its totient is φ = 10362880.

The previous prime is 46405889. The next prime is 46405921. The reversal of 46405920 is 2950464.

It is a super-2 number, since 2×46405920² = 4307018822092800, which contains 22 as substring.

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 (46405921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987337 + ... + 987383.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 2^46405920 is an apocalyptic number.

46405920 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 46405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

46405920 is an abundant number, since it is smaller than the sum of its proper divisors (127341024).

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

46405920 is a wasteful number, since it uses less digits than its factorization.

46405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 46405920 is about 6812.1890754735. The cubic root of 46405920 is about 359.3556374697.

The spelling of 46405920 in words is "forty-six million, four hundred five thousand, nine hundred twenty".