1772284416 has 160 divisors (see below), whose sum is σ = 5430509568. Its totient is φ = 503132160.

The previous prime is 1772284411. The next prime is 1772284417. The reversal of 1772284416 is 6144822771.

It is a super-2 number, since 2×1772284416² = 6281984102392922112, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1772284411) 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, 2053201 + ... + 2054063.

Almost surely, 2^1772284416 is an apocalyptic number.

1772284416 is a gapful number since it is divisible by the number (16) 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 1772284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715254784).

1772284416 is an abundant number, since it is smaller than the sum of its proper divisors (3658225152).

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

1772284416 is an equidigital number, since it uses as much as digits as its factorization.

1772284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1066 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 1772284416 is about 42098.5084771420. The cubic root of 1772284416 is about 1210.1646785405.

The spelling of 1772284416 in words is "one billion, seven hundred seventy-two million, two hundred eighty-four thousand, four hundred sixteen".