46576920 has 128 divisors (see below), whose sum is σ = 152913600. Its totient is φ = 11280384.

The previous prime is 46576913. The next prime is 46576921. The reversal of 46576920 is 2967564.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46576921) 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, 113676 + ... + 114084.

Almost surely, 2^46576920 is an apocalyptic number.

46576920 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 46576920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76456800).

46576920 is an abundant number, since it is smaller than the sum of its proper divisors (106336680).

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

46576920 is a wasteful number, since it uses less digits than its factorization.

46576920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 46576920 is about 6824.7285660310. The cubic root of 46576920 is about 359.7964899145.

The spelling of 46576920 in words is "forty-six million, five hundred seventy-six thousand, nine hundred twenty".