46765440 has 192 divisors, whose sum is σ = 168985440. Its totient is φ = 11894784.

The previous prime is 46765387. The next prime is 46765457. The reversal of 46765440 is 4456764.

46765440 is a `hidden beast` number, since 46 + 76 + 544 + 0 = 666.

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 = 46765395 and 46765404.

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, 132304 + ... + 132656.

Almost surely, 2^46765440 is an apocalyptic number.

46765440 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 46765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84492720).

46765440 is an abundant number, since it is smaller than the sum of its proper divisors (122220000).

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

46765440 is a wasteful number, since it uses less digits than its factorization.

46765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 46765440 is about 6838.5261570020. The cubic root of 46765440 is about 360.2812616794.

The spelling of 46765440 in words is "forty-six million, seven hundred sixty-five thousand, four hundred forty".