1506256920 has 384 divisors, whose sum is σ = 5955955200. Its totient is φ = 322486272.

The previous prime is 1506256909. The next prime is 1506256931. The reversal of 1506256920 is 296526051.

1506256920 is a `hidden beast` number, since 1 + 5 + 0 + 625 + 6 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1506256909) and next prime (1506256931).

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 95 ways as a sum of consecutive naturals, for example, 7804344 + ... + 7804536.

It is an arithmetic number, because the mean of its divisors is an integer number (15510300).

Almost surely, 2^1506256920 is an apocalyptic number.

1506256920 is a gapful number since it is divisible by the number (10) 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 1506256920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977977600).

1506256920 is an abundant number, since it is smaller than the sum of its proper divisors (4449698280).

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

1506256920 is a wasteful number, since it uses less digits than its factorization.

1506256920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1506256920 is about 38810.5258918248. The cubic root of 1506256920 is about 1146.3036758158.

The spelling of 1506256920 in words is "one billion, five hundred six million, two hundred fifty-six thousand, nine hundred twenty".