861450240 has 208 divisors, whose sum is σ = 3151634688. Its totient is φ = 196804608.

The previous prime is 861450229. The next prime is 861450251. The reversal of 861450240 is 42054168.

It is an interprime number because it is at equal distance from previous prime (861450229) and next prime (861450251).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 861450198 and 861450207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429079 + ... + 431081.

Almost surely, 2^861450240 is an apocalyptic number.

861450240 is a gapful number since it is divisible by the number (80) 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 861450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575817344).

861450240 is an abundant number, since it is smaller than the sum of its proper divisors (2290184448).

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

861450240 is a wasteful number, since it uses less digits than its factorization.

861450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 861450240 is about 29350.4725685976. The cubic root of 861450240 is about 951.5027886394.

The spelling of 861450240 in words is "eight hundred sixty-one million, four hundred fifty thousand, two hundred forty".