47349456 has 160 divisors (see below), whose sum is σ = 159418368. Its totient is φ = 11742720.

The previous prime is 47349451. The next prime is 47349457. The reversal of 47349456 is 65494374.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 (47349451) 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, 84730 + ... + 85286.

Almost surely, 2^47349456 is an apocalyptic number.

47349456 is a gapful number since it is divisible by the number (46) 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 47349456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79709184).

47349456 is an abundant number, since it is smaller than the sum of its proper divisors (112068912).

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

47349456 is a wasteful number, since it uses less digits than its factorization.

47349456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 47349456 is about 6881.0940990514. The cubic root of 47349456 is about 361.7748159465.

The spelling of 47349456 in words is "forty-seven million, three hundred forty-nine thousand, four hundred fifty-six".