649958400 has 792 divisors, whose sum is σ = 2956588544. Its totient is φ = 132710400.

The previous prime is 649958341. The next prime is 649958401. The reversal of 649958400 is 4859946.

It is a happy number.

649958400 is a `hidden beast` number, since 64 + 9 + 9 + 584 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649958401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20966385 + ... + 20966415.

Almost surely, 2^649958400 is an apocalyptic number.

649958400 is a gapful number since it is divisible by the number (60) 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 649958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478294272).

649958400 is an abundant number, since it is smaller than the sum of its proper divisors (2306630144).

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

649958400 is a wasteful number, since it uses less digits than its factorization.

649958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 649958400 is about 25494.2817117878. The cubic root of 649958400 is about 866.2206251791.

The spelling of 649958400 in words is "six hundred forty-nine million, nine hundred fifty-eight thousand, four hundred".