407406384 has 360 divisors, whose sum is σ = 1505059920. Its totient is φ = 101606400.

The previous prime is 407406367. The next prime is 407406409. The reversal of 407406384 is 483604704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2250774 + ... + 2250954.

It is an arithmetic number, because the mean of its divisors is an integer number (4180722).

Almost surely, 2^407406384 is an apocalyptic number.

407406384 is a gapful number since it is divisible by the number (44) 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 407406384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752529960).

407406384 is an abundant number, since it is smaller than the sum of its proper divisors (1097653536).

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

407406384 is a wasteful number, since it uses less digits than its factorization.

407406384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 407406384 is about 20184.3103424417. The cubic root of 407406384 is about 741.3260761184.

The spelling of 407406384 in words is "four hundred seven million, four hundred six thousand, three hundred eighty-four".