867950400 has 336 divisors, whose sum is σ = 3104245760. Its totient is φ = 211507200.

The previous prime is 867950383. The next prime is 867950407. The reversal of 867950400 is 4059768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867950407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2827047 + ... + 2827353.

Almost surely, 2^867950400 is an apocalyptic number.

867950400 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 867950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552122880).

867950400 is an abundant number, since it is smaller than the sum of its proper divisors (2236295360).

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

867950400 is a wasteful number, since it uses less digits than its factorization.

867950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 867950400 is about 29460.9979464376. The cubic root of 867950400 is about 953.8900145257.

The spelling of 867950400 in words is "eight hundred sixty-seven million, nine hundred fifty thousand, four hundred".