946928448 has 112 divisors (see below), whose sum is σ = 2792333760. Its totient is φ = 314675712.

The previous prime is 946928447. The next prime is 946928461. The reversal of 946928448 is 844829649.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 946928394 and 946928403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946928447) 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, 764886 + ... + 766122.

Almost surely, 2^946928448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396166880).

946928448 is an abundant number, since it is smaller than the sum of its proper divisors (1845405312).

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

946928448 is a wasteful number, since it uses less digits than its factorization.

946928448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1685 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 946928448 is about 30772.2025211066. The cubic root of 946928448 is about 981.9869613322.

It can be divided in two parts, 946928 and 448, that added together give a triangular number (947376 = T₁₃₇₆).

The spelling of 946928448 in words is "nine hundred forty-six million, nine hundred twenty-eight thousand, four hundred forty-eight".