407490720 has 384 divisors, whose sum is σ = 1666344960. Its totient is φ = 81285120.

The previous prime is 407490667. The next prime is 407490737. The reversal of 407490720 is 27094704.

It is a super-2 number, since 2×407490720² = 332097373772236800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829675 + ... + 830165.

It is an arithmetic number, because the mean of its divisors is an integer number (4339440).

Almost surely, 2^407490720 is an apocalyptic number.

407490720 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 407490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833172480).

407490720 is an abundant number, since it is smaller than the sum of its proper divisors (1258854240).

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

407490720 is a wasteful number, since it uses less digits than its factorization.

407490720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 407490720 is about 20186.3993817620. The cubic root of 407490720 is about 741.3772258343.

The spelling of 407490720 in words is "four hundred seven million, four hundred ninety thousand, seven hundred twenty".