1649214000 has 320 divisors, whose sum is σ = 6753377280. Its totient is φ = 376876800.

The previous prime is 1649213989. The next prime is 1649214023. The reversal of 1649214000 is 4129461.

1649214000 is a `hidden beast` number, since 1 + 649 + 2 + 14 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 375819 + ... + 380181.

It is an arithmetic number, because the mean of its divisors is an integer number (21104304).

Almost surely, 2^1649214000 is an apocalyptic number.

1649214000 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 1649214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376688640).

1649214000 is an abundant number, since it is smaller than the sum of its proper divisors (5104163280).

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

1649214000 is a wasteful number, since it uses less digits than its factorization.

1649214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1649214000 is about 40610.5158795108. The cubic root of 1649214000 is about 1181.4780864676.

It can be divided in two parts, 164921 and 4000, that added together give a square (168921 = 411²).

The spelling of 1649214000 in words is "one billion, six hundred forty-nine million, two hundred fourteen thousand".