397535040 has 420 divisors, whose sum is σ = 1650231396. Its totient is φ = 90574848.

The previous prime is 397535029. The next prime is 397535063. The reversal of 397535040 is 40535793.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 347747904 = 7056^2 + 18648^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a junction number, because it is equal to n+sod(n) for n = 397534986 and 397535004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269924 + ... + 1270236.

Almost surely, 2^397535040 is an apocalyptic number.

397535040 is a gapful number since it is divisible by the number (30) 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 397535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825115698).

397535040 is an abundant number, since it is smaller than the sum of its proper divisors (1252696356).

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

397535040 is a wasteful number, since it uses less digits than its factorization.

397535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 397535040 is about 19938.2807684113. The cubic root of 397535040 is about 735.2896817326.

The spelling of 397535040 in words is "three hundred ninety-seven million, five hundred thirty-five thousand, forty".