1649457600 has 252 divisors, whose sum is σ = 6296018904. Its totient is φ = 376965120.

The previous prime is 1649457577. The next prime is 1649457617. The reversal of 1649457600 is 67549461.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231694 + ... + 238706.

It is an arithmetic number, because the mean of its divisors is an integer number (24984202).

Almost surely, 2^1649457600 is an apocalyptic number.

1649457600 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 1649457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148009452).

1649457600 is an abundant number, since it is smaller than the sum of its proper divisors (4646561304).

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

1649457600 is a wasteful number, since it uses less digits than its factorization.

1649457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1649457600 is about 40613.5149919334. The cubic root of 1649457600 is about 1181.5362543570.

The spelling of 1649457600 in words is "one billion, six hundred forty-nine million, four hundred fifty-seven thousand, six hundred".