802434948 has 96 divisors (see below), whose sum is σ = 2280628224. Its totient is φ = 214608768.

The previous prime is 802434943. The next prime is 802434967. The reversal of 802434948 is 849434208.

It is a super-4 number, since 4×802434948⁴ (a number of 37 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (802434943) 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, 86386 + ... + 95222.

It is an arithmetic number, because the mean of its divisors is an integer number (23756544).

Almost surely, 2^802434948 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 802434948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140314112).

802434948 is an abundant number, since it is smaller than the sum of its proper divisors (1478193276).

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

802434948 is a wasteful number, since it uses less digits than its factorization.

802434948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8921 (or 8919 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 802434948 is about 28327.2827500274. The cubic root of 802434948 is about 929.2586484053.

The spelling of 802434948 in words is "eight hundred two million, four hundred thirty-four thousand, nine hundred forty-eight".