1658534472 has 384 divisors, whose sum is σ = 5766758400. Its totient is φ = 419904000.

The previous prime is 1658534443. The next prime is 1658534489. The reversal of 1658534472 is 2744358561.

1658534472 is a `hidden beast` number, since 165 + 85 + 344 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10983597 + ... + 10983747.

It is an arithmetic number, because the mean of its divisors is an integer number (15017600).

Almost surely, 2^1658534472 is an apocalyptic number.

1658534472 is a gapful number since it is divisible by the number (12) 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 1658534472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883379200).

1658534472 is an abundant number, since it is smaller than the sum of its proper divisors (4108223928).

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

1658534472 is a wasteful number, since it uses less digits than its factorization.

1658534472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 1658534472 is about 40725.1086186397. The cubic root of 1658534472 is about 1183.6996000288.

It can be divided in two parts, 1658 and 534472, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 1658534472 in words is "one billion, six hundred fifty-eight million, five hundred thirty-four thousand, four hundred seventy-two".