46358640 has 180 divisors, whose sum is σ = 163273032. Its totient is φ = 11784960.

The previous prime is 46358633. The next prime is 46358647. The reversal of 46358640 is 4685364.

46358640 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (46358633) and next prime (46358647).

It is a tau number, because it is divible by the number of its divisors (180).

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 = 46358595 and 46358604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46358647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 691887 + ... + 691953.

Almost surely, 2^46358640 is an apocalyptic number.

46358640 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 46358640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81636516).

46358640 is an abundant number, since it is smaller than the sum of its proper divisors (116914392).

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

46358640 is a wasteful number, since it uses less digits than its factorization.

46358640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 46358640 is about 6808.7179409930. The cubic root of 46358640 is about 359.2335545693.

The spelling of 46358640 in words is "forty-six million, three hundred fifty-eight thousand, six hundred forty".