407828678400 has 1296 divisors, whose sum is σ = 1740908158080. Its totient is φ = 89778585600.

The previous prime is 407828678393. The next prime is 407828678419. The reversal of 407828678400 is 4876828704.

It is a happy number.

407828678400 is a `hidden beast` number, since 407 + 82 + 86 + 7 + 84 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 551865231 + ... + 551865969.

Almost surely, 2^407828678400 is an apocalyptic number.

407828678400 is a gapful number since it is divisible by the number (40) 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 407828678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870454079040).

407828678400 is an abundant number, since it is smaller than the sum of its proper divisors (1333079479680).

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

407828678400 is a wasteful number, since it uses less digits than its factorization.

407828678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 407828678400 in words is "four hundred seven billion, eight hundred twenty-eight million, six hundred seventy-eight thousand, four hundred".