820302552 has 40 divisors (see below), whose sum is σ = 2297608500. Its totient is φ = 273433968.

The previous prime is 820302551. The next prime is 820302559. The reversal of 820302552 is 255203028.

820302552 is a `hidden beast` number, since 82 + 0 + 30 + 2 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820302551) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 632302 + ... + 633597.

Almost surely, 2^820302552 is an apocalyptic number.

It is an amenable number.

820302552 is an abundant number, since it is smaller than the sum of its proper divisors (1477305948).

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

820302552 is a wasteful number, since it uses less digits than its factorization.

820302552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265917 (or 1265904 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 820302552 is about 28640.9244264217. The cubic root of 820302552 is about 936.1052642955.

The spelling of 820302552 in words is "eight hundred twenty million, three hundred two thousand, five hundred fifty-two".