46938240 has 192 divisors, whose sum is σ = 168269400. Its totient is φ = 12042240.

The previous prime is 46938209. The next prime is 46938263. The reversal of 46938240 is 4283964.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41062464 + 5875776 = 6408^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 46938195 and 46938204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166900 + ... + 167180.

Almost surely, 2^46938240 is an apocalyptic number.

46938240 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 46938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84134700).

46938240 is an abundant number, since it is smaller than the sum of its proper divisors (121331160).

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

46938240 is a wasteful number, since it uses less digits than its factorization.

46938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 46938240 is about 6851.1488087765. The cubic root of 46938240 is about 360.7244670244.

The spelling of 46938240 in words is "forty-six million, nine hundred thirty-eight thousand, two hundred forty".