407628720 has 240 divisors, whose sum is σ = 1493788320. Its totient is φ = 102150144.

The previous prime is 407628709. The next prime is 407628721. The reversal of 407628720 is 27826704.

407628720 is a `hidden beast` number, since 4 + 0 + 7 + 628 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×407628720² = 332322346737676800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (407628721) 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, 623914 + ... + 624566.

It is an arithmetic number, because the mean of its divisors is an integer number (6224118).

Almost surely, 2^407628720 is an apocalyptic number.

407628720 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 407628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746894160).

407628720 is an abundant number, since it is smaller than the sum of its proper divisors (1086159600).

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

407628720 is a wasteful number, since it uses less digits than its factorization.

407628720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 407628720 is about 20189.8172354284. The cubic root of 407628720 is about 741.4609075027.

The spelling of 407628720 in words is "four hundred seven million, six hundred twenty-eight thousand, seven hundred twenty".