46688840 has 64 divisors (see below), whose sum is σ = 118584000. Its totient is φ = 16387840.

The previous prime is 46688809. The next prime is 46688843. The reversal of 46688840 is 4888664.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 46688791 and 46688800.

It is not an unprimeable number, because it can be changed into a prime (46688843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10931 + ... + 14589.

It is an arithmetic number, because the mean of its divisors is an integer number (1852875).

Almost surely, 2^46688840 is an apocalyptic number.

46688840 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 46688840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59292000).

46688840 is an abundant number, since it is smaller than the sum of its proper divisors (71895160).

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

46688840 is a wasteful number, since it uses less digits than its factorization.

46688840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 46688840 is about 6832.9232397269. The cubic root of 46688840 is about 360.0844452107.

It can be divided in two parts, 46 and 688840, that added together give a palindrome (688886).

The spelling of 46688840 in words is "forty-six million, six hundred eighty-eight thousand, eight hundred forty".