786249450 has 384 divisors, whose sum is σ = 2714112000. Its totient is φ = 163296000.

The previous prime is 786249449. The next prime is 786249481. The reversal of 786249450 is 54942687.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 786249396 and 786249405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5206875 + ... + 5207025.

It is an arithmetic number, because the mean of its divisors is an integer number (7068000).

Almost surely, 2^786249450 is an apocalyptic number.

786249450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 786249450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357056000).

786249450 is an abundant number, since it is smaller than the sum of its proper divisors (1927862550).

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

786249450 is a wasteful number, since it uses less digits than its factorization.

786249450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 786249450 is about 28040.1399782526. The cubic root of 786249450 is about 922.9682994778.

The spelling of 786249450 in words is "seven hundred eighty-six million, two hundred forty-nine thousand, four hundred fifty".