1600467420 has 192 divisors, whose sum is σ = 4816143360. Its totient is φ = 396244992.

The previous prime is 1600467371. The next prime is 1600467433. The reversal of 1600467420 is 247640061.

It is a super-2 number, since 2×1600467420² = 5122991924962912800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10193982 + ... + 10194138.

It is an arithmetic number, because the mean of its divisors is an integer number (25084080).

Almost surely, 2^1600467420 is an apocalyptic number.

1600467420 is a gapful number since it is divisible by the number (10) 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 1600467420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408071680).

1600467420 is an abundant number, since it is smaller than the sum of its proper divisors (3215675940).

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

1600467420 is a wasteful number, since it uses less digits than its factorization.

1600467420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1600467420 is about 40005.8423233407. The cubic root of 1600467420 is about 1169.7209795602.

The spelling of 1600467420 in words is "one billion, six hundred million, four hundred sixty-seven thousand, four hundred twenty".