1654460416 has 104 divisors (see below), whose sum is σ = 3981481280. Its totient is φ = 671514624.

The previous prime is 1654460399. The next prime is 1654460419. The reversal of 1654460416 is 6140644561.

It is a super-2 number, since 2×1654460416² = 5474478536221786112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1654460419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543250 + ... + 546286.

Almost surely, 2^1654460416 is an apocalyptic number.

1654460416 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 1654460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990740640).

1654460416 is an abundant number, since it is smaller than the sum of its proper divisors (2327020864).

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

1654460416 is an equidigital number, since it uses as much as digits as its factorization.

1654460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 1654460416 is about 40675.0588936267. The cubic root of 1654460416 is about 1182.7295845128.

The spelling of 1654460416 in words is "one billion, six hundred fifty-four million, four hundred sixty thousand, four hundred sixteen".