46219680 has 192 divisors, whose sum is σ = 174424320. Its totient is φ = 11363328.

The previous prime is 46219643. The next prime is 46219681. The reversal of 46219680 is 8691264.

46219680 is a `hidden beast` number, since 462 + 196 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (46219681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55749 + ... + 56571.

It is an arithmetic number, because the mean of its divisors is an integer number (908460).

Almost surely, 2^46219680 is an apocalyptic number.

46219680 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 46219680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87212160).

46219680 is an abundant number, since it is smaller than the sum of its proper divisors (128204640).

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

46219680 is a wasteful number, since it uses less digits than its factorization.

46219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 46219680 is about 6798.5057181707. The cubic root of 46219680 is about 358.8742612031.

The spelling of 46219680 in words is "forty-six million, two hundred nineteen thousand, six hundred eighty".