46909440 has 144 divisors (see below), whose sum is σ = 162899100. Its totient is φ = 12484608.

The previous prime is 46909433. The next prime is 46909459. The reversal of 46909440 is 4490964.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 451584 = 6816^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×46909440² = 4400991122227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46909395 and 46909404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91906 + ... + 92414.

Almost surely, 2^46909440 is an apocalyptic number.

46909440 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 46909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81449550).

46909440 is an abundant number, since it is smaller than the sum of its proper divisors (115989660).

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

46909440 is a wasteful number, since it uses less digits than its factorization.

46909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 46909440 is about 6849.0466489870. The cubic root of 46909440 is about 360.6506750931.

The spelling of 46909440 in words is "forty-six million, nine hundred nine thousand, four hundred forty".