46781952 has 160 divisors (see below), whose sum is σ = 150585600. Its totient is φ = 12607488.

The previous prime is 46781951. The next prime is 46781957. The reversal of 46781952 is 25918764.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46781951) 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, 204174 + ... + 204402.

It is an arithmetic number, because the mean of its divisors is an integer number (941160).

Almost surely, 2^46781952 is an apocalyptic number.

46781952 is a gapful number since it is divisible by the number (42) 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 46781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75292800).

46781952 is an abundant number, since it is smaller than the sum of its proper divisors (103803648).

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

46781952 is a wasteful number, since it uses less digits than its factorization.

46781952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 46781952 is about 6839.7333281350. The cubic root of 46781952 is about 360.3236595426.

The spelling of 46781952 in words is "forty-six million, seven hundred eighty-one thousand, nine hundred fifty-two".