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397474560 = 2833573153
BaseRepresentation
bin10111101100001…
…111101100000000
31000200220210121000
4113230033230000
51303223141220
6103235132000
712564322650
oct2754175400
91020823530
10397474560
1119440057a
12b1144000
1364468c62
143ab08360
1524d65390
hex17b0fb00

397474560 has 576 divisors, whose sum is σ = 1695375360. Its totient is φ = 86261760.

The previous prime is 397474559. The next prime is 397474573. The reversal of 397474560 is 65474793.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 7499494 + ... + 7499546.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 2397474560 is an apocalyptic number.

397474560 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 397474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847687680).

397474560 is an abundant number, since it is smaller than the sum of its proper divisors (1297900800).

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

397474560 is a wasteful number, since it uses less digits than its factorization.

397474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 397474560 is about 19936.7640303034. The cubic root of 397474560 is about 735.2523914556.

The spelling of 397474560 in words is "three hundred ninety-seven million, four hundred seventy-four thousand, five hundred sixty".